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Finding the Fourth Proportional to 9,488.25, 14,214.56 and 8,772.21

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Solution

The fourth proportional to 9,488.25, 14,214.56 and 8,772.21 is: 13,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.25 : 14,214.56 = 8,772.21 : x
  2. Step 2: Convert to fraction form
    9,488.25/14,214.56 = 8,772.21/x
  3. Step 3: Cross multiply
    9,488.25x = 14,214.56 × 8,772.21
  4. Step 4: Simplify right side
    9,488.25x = 124,693,061.52
  5. Step 5: Solve for x
    x = 124,693,061.52/9,488.25
  6. Step 6: Final answer
    x = 13,141.84

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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.