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Finding the Fourth Proportional to 9,594.48, 14,390.71 and 2,575.24

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Solution

The fourth proportional to 9,594.48, 14,390.71 and 2,575.24 is: 3,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.48 : 14,390.71 = 2,575.24 : x
  2. Step 2: Convert to fraction form
    9,594.48/14,390.71 = 2,575.24/x
  3. Step 3: Cross multiply
    9,594.48x = 14,390.71 × 2,575.24
  4. Step 4: Simplify right side
    9,594.48x = 37,059,532.02
  5. Step 5: Solve for x
    x = 37,059,532.02/9,594.48
  6. Step 6: Final answer
    x = 3,862.59

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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.