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Finding the Fourth Proportional to 9,784,893.90, 14,672,092.05 and 4,098,693.90

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Solution

The fourth proportional to 9,784,893.90, 14,672,092.05 and 4,098,693.90 is: 6,145,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,893.90 : 14,672,092.05 = 4,098,693.90 : x
  2. Step 2: Convert to fraction form
    9,784,893.90/14,672,092.05 = 4,098,693.90/x
  3. Step 3: Cross multiply
    9,784,893.90x = 14,672,092.05 × 4,098,693.90
  4. Step 4: Simplify right side
    9,784,893.90x = 60,136,414,185,573.50
  5. Step 5: Solve for x
    x = 60,136,414,185,573.50/9,784,893.90
  6. Step 6: Final answer
    x = 6,145,842.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.