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Finding the Fourth Proportional to 9,032.65, 13,549.03 and 2,458.89

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Solution

The fourth proportional to 9,032.65, 13,549.03 and 2,458.89 is: 3,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.65 : 13,549.03 = 2,458.89 : x
  2. Step 2: Convert to fraction form
    9,032.65/13,549.03 = 2,458.89/x
  3. Step 3: Cross multiply
    9,032.65x = 13,549.03 × 2,458.89
  4. Step 4: Simplify right side
    9,032.65x = 33,315,642.68
  5. Step 5: Solve for x
    x = 33,315,642.68/9,032.65
  6. Step 6: Final answer
    x = 3,688.36

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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.