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Finding the Fourth Proportional to 6,689.48, 9,224.18 and 4,565.24

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Solution

The fourth proportional to 6,689.48, 9,224.18 and 4,565.24 is: 6,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.48 : 9,224.18 = 4,565.24 : x
  2. Step 2: Convert to fraction form
    6,689.48/9,224.18 = 4,565.24/x
  3. Step 3: Cross multiply
    6,689.48x = 9,224.18 × 4,565.24
  4. Step 4: Simplify right side
    6,689.48x = 42,110,595.50
  5. Step 5: Solve for x
    x = 42,110,595.50/6,689.48
  6. Step 6: Final answer
    x = 6,295.05

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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.