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Finding the Fourth Proportional to 9,972.61, 14,913.34 and 7,475.78

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Solution

The fourth proportional to 9,972.61, 14,913.34 and 7,475.78 is: 11,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.61 : 14,913.34 = 7,475.78 : x
  2. Step 2: Convert to fraction form
    9,972.61/14,913.34 = 7,475.78/x
  3. Step 3: Cross multiply
    9,972.61x = 14,913.34 × 7,475.78
  4. Step 4: Simplify right side
    9,972.61x = 111,488,848.91
  5. Step 5: Solve for x
    x = 111,488,848.91/9,972.61
  6. Step 6: Final answer
    x = 11,179.51

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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.