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Finding the Fourth Proportional to 9,002.25, 12,423.08 and 5,023.13

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Solution

The fourth proportional to 9,002.25, 12,423.08 and 5,023.13 is: 6,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.25 : 12,423.08 = 5,023.13 : x
  2. Step 2: Convert to fraction form
    9,002.25/12,423.08 = 5,023.13/x
  3. Step 3: Cross multiply
    9,002.25x = 12,423.08 × 5,023.13
  4. Step 4: Simplify right side
    9,002.25x = 62,402,696.28
  5. Step 5: Solve for x
    x = 62,402,696.28/9,002.25
  6. Step 6: Final answer
    x = 6,931.90

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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.