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Finding the Fourth Proportional to 10,071.33, 13,897.49 and 9,328.29

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Solution

The fourth proportional to 10,071.33, 13,897.49 and 9,328.29 is: 12,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.33 : 13,897.49 = 9,328.29 : x
  2. Step 2: Convert to fraction form
    10,071.33/13,897.49 = 9,328.29/x
  3. Step 3: Cross multiply
    10,071.33x = 13,897.49 × 9,328.29
  4. Step 4: Simplify right side
    10,071.33x = 129,639,770.35
  5. Step 5: Solve for x
    x = 129,639,770.35/10,071.33
  6. Step 6: Final answer
    x = 12,872.16

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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.