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Finding the Fourth Proportional to 6,534.47, 9,018.98 and 4,018.71

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Solution

The fourth proportional to 6,534.47, 9,018.98 and 4,018.71 is: 5,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.47 : 9,018.98 = 4,018.71 : x
  2. Step 2: Convert to fraction form
    6,534.47/9,018.98 = 4,018.71/x
  3. Step 3: Cross multiply
    6,534.47x = 9,018.98 × 4,018.71
  4. Step 4: Simplify right side
    6,534.47x = 36,244,693.91
  5. Step 5: Solve for x
    x = 36,244,693.91/6,534.47
  6. Step 6: Final answer
    x = 5,546.69

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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.