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Finding the Fourth Proportional to 9,893.60, 14,827.44 and 4,043.54

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Solution

The fourth proportional to 9,893.60, 14,827.44 and 4,043.54 is: 6,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.60 : 14,827.44 = 4,043.54 : x
  2. Step 2: Convert to fraction form
    9,893.60/14,827.44 = 4,043.54/x
  3. Step 3: Cross multiply
    9,893.60x = 14,827.44 × 4,043.54
  4. Step 4: Simplify right side
    9,893.60x = 59,955,346.74
  5. Step 5: Solve for x
    x = 59,955,346.74/9,893.60
  6. Step 6: Final answer
    x = 6,060.01

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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.