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Finding the Fourth Proportional to 9,772.41, 13,486.17 and 5,792.88

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Solution

The fourth proportional to 9,772.41, 13,486.17 and 5,792.88 is: 7,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.41 : 13,486.17 = 5,792.88 : x
  2. Step 2: Convert to fraction form
    9,772.41/13,486.17 = 5,792.88/x
  3. Step 3: Cross multiply
    9,772.41x = 13,486.17 × 5,792.88
  4. Step 4: Simplify right side
    9,772.41x = 78,123,764.47
  5. Step 5: Solve for x
    x = 78,123,764.47/9,772.41
  6. Step 6: Final answer
    x = 7,994.32

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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.