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Finding the Fourth Proportional to 6,331.16, 9,478.38 and 4,777.58

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Solution

The fourth proportional to 6,331.16, 9,478.38 and 4,777.58 is: 7,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.16 : 9,478.38 = 4,777.58 : x
  2. Step 2: Convert to fraction form
    6,331.16/9,478.38 = 4,777.58/x
  3. Step 3: Cross multiply
    6,331.16x = 9,478.38 × 4,777.58
  4. Step 4: Simplify right side
    6,331.16x = 45,283,718.72
  5. Step 5: Solve for x
    x = 45,283,718.72/6,331.16
  6. Step 6: Final answer
    x = 7,152.52

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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.