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Finding the Fourth Proportional to 9,397.31, 12,968.15 and 5,364

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Solution

The fourth proportional to 9,397.31, 12,968.15 and 5,364 is: 7,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.31 : 12,968.15 = 5,364 : x
  2. Step 2: Convert to fraction form
    9,397.31/12,968.15 = 5,364/x
  3. Step 3: Cross multiply
    9,397.31x = 12,968.15 × 5,364
  4. Step 4: Simplify right side
    9,397.31x = 69,561,129.78
  5. Step 5: Solve for x
    x = 69,561,129.78/9,397.31
  6. Step 6: Final answer
    x = 7,402.24

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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.