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Finding the Fourth Proportional to 9,023.76, 13,514.04 and 5,726.52

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Solution

The fourth proportional to 9,023.76, 13,514.04 and 5,726.52 is: 8,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.76 : 13,514.04 = 5,726.52 : x
  2. Step 2: Convert to fraction form
    9,023.76/13,514.04 = 5,726.52/x
  3. Step 3: Cross multiply
    9,023.76x = 13,514.04 × 5,726.52
  4. Step 4: Simplify right side
    9,023.76x = 77,388,420.34
  5. Step 5: Solve for x
    x = 77,388,420.34/9,023.76
  6. Step 6: Final answer
    x = 8,576.07

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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.