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Finding the Fourth Proportional to 9,901.38, 14,854.86 and 5,521.98

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Solution

The fourth proportional to 9,901.38, 14,854.86 and 5,521.98 is: 8,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.38 : 14,854.86 = 5,521.98 : x
  2. Step 2: Convert to fraction form
    9,901.38/14,854.86 = 5,521.98/x
  3. Step 3: Cross multiply
    9,901.38x = 14,854.86 × 5,521.98
  4. Step 4: Simplify right side
    9,901.38x = 82,028,239.82
  5. Step 5: Solve for x
    x = 82,028,239.82/9,901.38
  6. Step 6: Final answer
    x = 8,284.53

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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.