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Finding the Fourth Proportional to 9,749.52, 13,454.16 and 5,557.44

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Solution

The fourth proportional to 9,749.52, 13,454.16 and 5,557.44 is: 7,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.52 : 13,454.16 = 5,557.44 : x
  2. Step 2: Convert to fraction form
    9,749.52/13,454.16 = 5,557.44/x
  3. Step 3: Cross multiply
    9,749.52x = 13,454.16 × 5,557.44
  4. Step 4: Simplify right side
    9,749.52x = 74,770,686.95
  5. Step 5: Solve for x
    x = 74,770,686.95/9,749.52
  6. Step 6: Final answer
    x = 7,669.17

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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.