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Finding the Fourth Proportional to 9,002.34, 12,421.74 and 5,023.32

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Solution

The fourth proportional to 9,002.34, 12,421.74 and 5,023.32 is: 6,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.34 : 12,421.74 = 5,023.32 : x
  2. Step 2: Convert to fraction form
    9,002.34/12,421.74 = 5,023.32/x
  3. Step 3: Cross multiply
    9,002.34x = 12,421.74 × 5,023.32
  4. Step 4: Simplify right side
    9,002.34x = 62,398,374.98
  5. Step 5: Solve for x
    x = 62,398,374.98/9,002.34
  6. Step 6: Final answer
    x = 6,931.35

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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.