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Finding the Fourth Proportional to 6,752.46, 9,314.51 and 4,061.81

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Solution

The fourth proportional to 6,752.46, 9,314.51 and 4,061.81 is: 5,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.46 : 9,314.51 = 4,061.81 : x
  2. Step 2: Convert to fraction form
    6,752.46/9,314.51 = 4,061.81/x
  3. Step 3: Cross multiply
    6,752.46x = 9,314.51 × 4,061.81
  4. Step 4: Simplify right side
    6,752.46x = 37,833,702.98
  5. Step 5: Solve for x
    x = 37,833,702.98/6,752.46
  6. Step 6: Final answer
    x = 5,602.95

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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.