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Finding the Fourth Proportional to 6,442.31, 8,908.29 and 5,113.71

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Solution

The fourth proportional to 6,442.31, 8,908.29 and 5,113.71 is: 7,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.31 : 8,908.29 = 5,113.71 : x
  2. Step 2: Convert to fraction form
    6,442.31/8,908.29 = 5,113.71/x
  3. Step 3: Cross multiply
    6,442.31x = 8,908.29 × 5,113.71
  4. Step 4: Simplify right side
    6,442.31x = 45,554,386.09
  5. Step 5: Solve for x
    x = 45,554,386.09/6,442.31
  6. Step 6: Final answer
    x = 7,071.13

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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.