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Finding the Fourth Proportional to 6,258.65, 9,398.69 and 5,557.43

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Solution

The fourth proportional to 6,258.65, 9,398.69 and 5,557.43 is: 8,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.65 : 9,398.69 = 5,557.43 : x
  2. Step 2: Convert to fraction form
    6,258.65/9,398.69 = 5,557.43/x
  3. Step 3: Cross multiply
    6,258.65x = 9,398.69 × 5,557.43
  4. Step 4: Simplify right side
    6,258.65x = 52,232,561.77
  5. Step 5: Solve for x
    x = 52,232,561.77/6,258.65
  6. Step 6: Final answer
    x = 8,345.66

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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.