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Finding the Fourth Proportional to 9,920.32, 14,841.60 and 7,152.28

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Solution

The fourth proportional to 9,920.32, 14,841.60 and 7,152.28 is: 10,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.32 : 14,841.60 = 7,152.28 : x
  2. Step 2: Convert to fraction form
    9,920.32/14,841.60 = 7,152.28/x
  3. Step 3: Cross multiply
    9,920.32x = 14,841.60 × 7,152.28
  4. Step 4: Simplify right side
    9,920.32x = 106,151,278.85
  5. Step 5: Solve for x
    x = 106,151,278.85/9,920.32
  6. Step 6: Final answer
    x = 10,700.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.