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Finding the Fourth Proportional to 6,455.16, 9,695.70 and 5,641.92

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Solution

The fourth proportional to 6,455.16, 9,695.70 and 5,641.92 is: 8,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.16 : 9,695.70 = 5,641.92 : x
  2. Step 2: Convert to fraction form
    6,455.16/9,695.70 = 5,641.92/x
  3. Step 3: Cross multiply
    6,455.16x = 9,695.70 × 5,641.92
  4. Step 4: Simplify right side
    6,455.16x = 54,702,363.74
  5. Step 5: Solve for x
    x = 54,702,363.74/6,455.16
  6. Step 6: Final answer
    x = 8,474.21

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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.