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Finding the Fourth Proportional to 6,877.64, 9,490.88 and 3,733.76

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Solution

The fourth proportional to 6,877.64, 9,490.88 and 3,733.76 is: 5,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.64 : 9,490.88 = 3,733.76 : x
  2. Step 2: Convert to fraction form
    6,877.64/9,490.88 = 3,733.76/x
  3. Step 3: Cross multiply
    6,877.64x = 9,490.88 × 3,733.76
  4. Step 4: Simplify right side
    6,877.64x = 35,436,668.11
  5. Step 5: Solve for x
    x = 35,436,668.11/6,877.64
  6. Step 6: Final answer
    x = 5,152.45

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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.