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Finding the Fourth Proportional to 9,160.59, 13,739.33 and 2,585.24

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Solution

The fourth proportional to 9,160.59, 13,739.33 and 2,585.24 is: 3,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.59 : 13,739.33 = 2,585.24 : x
  2. Step 2: Convert to fraction form
    9,160.59/13,739.33 = 2,585.24/x
  3. Step 3: Cross multiply
    9,160.59x = 13,739.33 × 2,585.24
  4. Step 4: Simplify right side
    9,160.59x = 35,519,403.26
  5. Step 5: Solve for x
    x = 35,519,403.26/9,160.59
  6. Step 6: Final answer
    x = 3,877.41

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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.