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Finding the Fourth Proportional to 9,023.40, 13,535.10 and 4,876.20

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Solution

The fourth proportional to 9,023.40, 13,535.10 and 4,876.20 is: 7,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.40 : 13,535.10 = 4,876.20 : x
  2. Step 2: Convert to fraction form
    9,023.40/13,535.10 = 4,876.20/x
  3. Step 3: Cross multiply
    9,023.40x = 13,535.10 × 4,876.20
  4. Step 4: Simplify right side
    9,023.40x = 65,999,854.62
  5. Step 5: Solve for x
    x = 65,999,854.62/9,023.40
  6. Step 6: Final answer
    x = 7,314.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.