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Finding the Fourth Proportional to 9,740.92, 14,610 and 3,167.20

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Solution

The fourth proportional to 9,740.92, 14,610 and 3,167.20 is: 4,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.92 : 14,610 = 3,167.20 : x
  2. Step 2: Convert to fraction form
    9,740.92/14,610 = 3,167.20/x
  3. Step 3: Cross multiply
    9,740.92x = 14,610 × 3,167.20
  4. Step 4: Simplify right side
    9,740.92x = 46,272,792
  5. Step 5: Solve for x
    x = 46,272,792/9,740.92
  6. Step 6: Final answer
    x = 4,750.35

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