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Finding the Fourth Proportional to 11,312.64, 15,597.14 and 9,398.12

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Solution

The fourth proportional to 11,312.64, 15,597.14 and 9,398.12 is: 12,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.64 : 15,597.14 = 9,398.12 : x
  2. Step 2: Convert to fraction form
    11,312.64/15,597.14 = 9,398.12/x
  3. Step 3: Cross multiply
    11,312.64x = 15,597.14 × 9,398.12
  4. Step 4: Simplify right side
    11,312.64x = 146,583,668.40
  5. Step 5: Solve for x
    x = 146,583,668.40/11,312.64
  6. Step 6: Final answer
    x = 12,957.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.