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Finding the Fourth Proportional to 6,376.47, 9,564.80 and 1,696.56

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Solution

The fourth proportional to 6,376.47, 9,564.80 and 1,696.56 is: 2,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.47 : 9,564.80 = 1,696.56 : x
  2. Step 2: Convert to fraction form
    6,376.47/9,564.80 = 1,696.56/x
  3. Step 3: Cross multiply
    6,376.47x = 9,564.80 × 1,696.56
  4. Step 4: Simplify right side
    6,376.47x = 16,227,248.61
  5. Step 5: Solve for x
    x = 16,227,248.61/6,376.47
  6. Step 6: Final answer
    x = 2,544.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.