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Finding the Fourth Proportional to 6,327.95, 9,495.91 and 6,275.78

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Solution

The fourth proportional to 6,327.95, 9,495.91 and 6,275.78 is: 9,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.95 : 9,495.91 = 6,275.78 : x
  2. Step 2: Convert to fraction form
    6,327.95/9,495.91 = 6,275.78/x
  3. Step 3: Cross multiply
    6,327.95x = 9,495.91 × 6,275.78
  4. Step 4: Simplify right side
    6,327.95x = 59,594,220.38
  5. Step 5: Solve for x
    x = 59,594,220.38/6,327.95
  6. Step 6: Final answer
    x = 9,417.62

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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.