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Finding the Fourth Proportional to 9,371.30, 12,929.29 and 6,186.17

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Solution

The fourth proportional to 9,371.30, 12,929.29 and 6,186.17 is: 8,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.30 : 12,929.29 = 6,186.17 : x
  2. Step 2: Convert to fraction form
    9,371.30/12,929.29 = 6,186.17/x
  3. Step 3: Cross multiply
    9,371.30x = 12,929.29 × 6,186.17
  4. Step 4: Simplify right side
    9,371.30x = 79,982,802.78
  5. Step 5: Solve for x
    x = 79,982,802.78/9,371.30
  6. Step 6: Final answer
    x = 8,534.87

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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.