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Finding the Fourth Proportional to 9,002.96, 12,422.84 and 5,023.30

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Solution

The fourth proportional to 9,002.96, 12,422.84 and 5,023.30 is: 6,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.96 : 12,422.84 = 5,023.30 : x
  2. Step 2: Convert to fraction form
    9,002.96/12,422.84 = 5,023.30/x
  3. Step 3: Cross multiply
    9,002.96x = 12,422.84 × 5,023.30
  4. Step 4: Simplify right side
    9,002.96x = 62,403,652.17
  5. Step 5: Solve for x
    x = 62,403,652.17/9,002.96
  6. Step 6: Final answer
    x = 6,931.46

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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.