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Finding the Fourth Proportional to 9,077.74, 12,528.64 and 5,543

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Solution

The fourth proportional to 9,077.74, 12,528.64 and 5,543 is: 7,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.74 : 12,528.64 = 5,543 : x
  2. Step 2: Convert to fraction form
    9,077.74/12,528.64 = 5,543/x
  3. Step 3: Cross multiply
    9,077.74x = 12,528.64 × 5,543
  4. Step 4: Simplify right side
    9,077.74x = 69,446,251.52
  5. Step 5: Solve for x
    x = 69,446,251.52/9,077.74
  6. Step 6: Final answer
    x = 7,650.17

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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.