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Finding the Fourth Proportional to 9,930.32, 14,887.28 and 7,748.72

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Solution

The fourth proportional to 9,930.32, 14,887.28 and 7,748.72 is: 11,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.32 : 14,887.28 = 7,748.72 : x
  2. Step 2: Convert to fraction form
    9,930.32/14,887.28 = 7,748.72/x
  3. Step 3: Cross multiply
    9,930.32x = 14,887.28 × 7,748.72
  4. Step 4: Simplify right side
    9,930.32x = 115,357,364.28
  5. Step 5: Solve for x
    x = 115,357,364.28/9,930.32
  6. Step 6: Final answer
    x = 11,616.68

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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.