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Finding the Fourth Proportional to 9,929.92, 13,689.60 and 9,623.20

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Solution

The fourth proportional to 9,929.92, 13,689.60 and 9,623.20 is: 13,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.92 : 13,689.60 = 9,623.20 : x
  2. Step 2: Convert to fraction form
    9,929.92/13,689.60 = 9,623.20/x
  3. Step 3: Cross multiply
    9,929.92x = 13,689.60 × 9,623.20
  4. Step 4: Simplify right side
    9,929.92x = 131,737,758.72
  5. Step 5: Solve for x
    x = 131,737,758.72/9,929.92
  6. Step 6: Final answer
    x = 13,266.75

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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.