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Finding the Fourth Proportional to 9,589.51, 14,385.25 and 3,671.38

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Solution

The fourth proportional to 9,589.51, 14,385.25 and 3,671.38 is: 5,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.51 : 14,385.25 = 3,671.38 : x
  2. Step 2: Convert to fraction form
    9,589.51/14,385.25 = 3,671.38/x
  3. Step 3: Cross multiply
    9,589.51x = 14,385.25 × 3,671.38
  4. Step 4: Simplify right side
    9,589.51x = 52,813,719.15
  5. Step 5: Solve for x
    x = 52,813,719.15/9,589.51
  6. Step 6: Final answer
    x = 5,507.45

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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.