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Finding the Fourth Proportional to 9,888.32, 13,648.92 and 5,699.36

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Solution

The fourth proportional to 9,888.32, 13,648.92 and 5,699.36 is: 7,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.32 : 13,648.92 = 5,699.36 : x
  2. Step 2: Convert to fraction form
    9,888.32/13,648.92 = 5,699.36/x
  3. Step 3: Cross multiply
    9,888.32x = 13,648.92 × 5,699.36
  4. Step 4: Simplify right side
    9,888.32x = 77,790,108.69
  5. Step 5: Solve for x
    x = 77,790,108.69/9,888.32
  6. Step 6: Final answer
    x = 7,866.87

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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.