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Finding the Fourth Proportional to 9,677.47, 13,356.03 and 5,429.70

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Solution

The fourth proportional to 9,677.47, 13,356.03 and 5,429.70 is: 7,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.47 : 13,356.03 = 5,429.70 : x
  2. Step 2: Convert to fraction form
    9,677.47/13,356.03 = 5,429.70/x
  3. Step 3: Cross multiply
    9,677.47x = 13,356.03 × 5,429.70
  4. Step 4: Simplify right side
    9,677.47x = 72,519,236.09
  5. Step 5: Solve for x
    x = 72,519,236.09/9,677.47
  6. Step 6: Final answer
    x = 7,493.62

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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.