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Finding the Fourth Proportional to 9,002.72, 12,422.58 and 5,023.28

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Solution

The fourth proportional to 9,002.72, 12,422.58 and 5,023.28 is: 6,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.72 : 12,422.58 = 5,023.28 : x
  2. Step 2: Convert to fraction form
    9,002.72/12,422.58 = 5,023.28/x
  3. Step 3: Cross multiply
    9,002.72x = 12,422.58 × 5,023.28
  4. Step 4: Simplify right side
    9,002.72x = 62,402,097.66
  5. Step 5: Solve for x
    x = 62,402,097.66/9,002.72
  6. Step 6: Final answer
    x = 6,931.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.