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Finding the Fourth Proportional to 9,602.24, 13,250.86 and 5,569.79

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Solution

The fourth proportional to 9,602.24, 13,250.86 and 5,569.79 is: 7,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.24 : 13,250.86 = 5,569.79 : x
  2. Step 2: Convert to fraction form
    9,602.24/13,250.86 = 5,569.79/x
  3. Step 3: Cross multiply
    9,602.24x = 13,250.86 × 5,569.79
  4. Step 4: Simplify right side
    9,602.24x = 73,804,507.52
  5. Step 5: Solve for x
    x = 73,804,507.52/9,602.24
  6. Step 6: Final answer
    x = 7,686.18

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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.