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Finding the Fourth Proportional to 9,023.83, 13,540.84 and 4,863.74

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Solution

The fourth proportional to 9,023.83, 13,540.84 and 4,863.74 is: 7,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.83 : 13,540.84 = 4,863.74 : x
  2. Step 2: Convert to fraction form
    9,023.83/13,540.84 = 4,863.74/x
  3. Step 3: Cross multiply
    9,023.83x = 13,540.84 × 4,863.74
  4. Step 4: Simplify right side
    9,023.83x = 65,859,045.28
  5. Step 5: Solve for x
    x = 65,859,045.28/9,023.83
  6. Step 6: Final answer
    x = 7,298.35

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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.