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Finding the Fourth Proportional to 9,895.60, 14,829.90 and 6,374.80

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Solution

The fourth proportional to 9,895.60, 14,829.90 and 6,374.80 is: 9,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.60 : 14,829.90 = 6,374.80 : x
  2. Step 2: Convert to fraction form
    9,895.60/14,829.90 = 6,374.80/x
  3. Step 3: Cross multiply
    9,895.60x = 14,829.90 × 6,374.80
  4. Step 4: Simplify right side
    9,895.60x = 94,537,646.52
  5. Step 5: Solve for x
    x = 94,537,646.52/9,895.60
  6. Step 6: Final answer
    x = 9,553.50

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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.