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Finding the Fourth Proportional to 9,307.71, 13,957.92 and 3,461.13

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Solution

The fourth proportional to 9,307.71, 13,957.92 and 3,461.13 is: 5,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.71 : 13,957.92 = 3,461.13 : x
  2. Step 2: Convert to fraction form
    9,307.71/13,957.92 = 3,461.13/x
  3. Step 3: Cross multiply
    9,307.71x = 13,957.92 × 3,461.13
  4. Step 4: Simplify right side
    9,307.71x = 48,310,175.65
  5. Step 5: Solve for x
    x = 48,310,175.65/9,307.71
  6. Step 6: Final answer
    x = 5,190.34

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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.