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Finding the Fourth Proportional to 6,877.40, 9,490.72 and 3,733.52

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Solution

The fourth proportional to 6,877.40, 9,490.72 and 3,733.52 is: 5,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.40 : 9,490.72 = 3,733.52 : x
  2. Step 2: Convert to fraction form
    6,877.40/9,490.72 = 3,733.52/x
  3. Step 3: Cross multiply
    6,877.40x = 9,490.72 × 3,733.52
  4. Step 4: Simplify right side
    6,877.40x = 35,433,792.93
  5. Step 5: Solve for x
    x = 35,433,792.93/6,877.40
  6. Step 6: Final answer
    x = 5,152.21

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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.