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Finding the Fourth Proportional to 9,876.92, 13,630 and 5,897.28

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Solution

The fourth proportional to 9,876.92, 13,630 and 5,897.28 is: 8,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.92 : 13,630 = 5,897.28 : x
  2. Step 2: Convert to fraction form
    9,876.92/13,630 = 5,897.28/x
  3. Step 3: Cross multiply
    9,876.92x = 13,630 × 5,897.28
  4. Step 4: Simplify right side
    9,876.92x = 80,379,926.40
  5. Step 5: Solve for x
    x = 80,379,926.40/9,876.92
  6. Step 6: Final answer
    x = 8,138.16

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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.