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Finding the Fourth Proportional to 9,643.72, 14,465.58 and 9,151.24

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Solution

The fourth proportional to 9,643.72, 14,465.58 and 9,151.24 is: 13,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.72 : 14,465.58 = 9,151.24 : x
  2. Step 2: Convert to fraction form
    9,643.72/14,465.58 = 9,151.24/x
  3. Step 3: Cross multiply
    9,643.72x = 14,465.58 × 9,151.24
  4. Step 4: Simplify right side
    9,643.72x = 132,377,994.32
  5. Step 5: Solve for x
    x = 132,377,994.32/9,643.72
  6. Step 6: Final answer
    x = 13,726.86

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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.