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Finding the Fourth Proportional to 9,421.80, 13,002.14 and 5,230.32

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Solution

The fourth proportional to 9,421.80, 13,002.14 and 5,230.32 is: 7,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.80 : 13,002.14 = 5,230.32 : x
  2. Step 2: Convert to fraction form
    9,421.80/13,002.14 = 5,230.32/x
  3. Step 3: Cross multiply
    9,421.80x = 13,002.14 × 5,230.32
  4. Step 4: Simplify right side
    9,421.80x = 68,005,352.88
  5. Step 5: Solve for x
    x = 68,005,352.88/9,421.80
  6. Step 6: Final answer
    x = 7,217.87

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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.