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Finding the Fourth Proportional to 9,888.16, 13,633.26 and 7,757.08

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Solution

The fourth proportional to 9,888.16, 13,633.26 and 7,757.08 is: 10,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.16 : 13,633.26 = 7,757.08 : x
  2. Step 2: Convert to fraction form
    9,888.16/13,633.26 = 7,757.08/x
  3. Step 3: Cross multiply
    9,888.16x = 13,633.26 × 7,757.08
  4. Step 4: Simplify right side
    9,888.16x = 105,754,288.48
  5. Step 5: Solve for x
    x = 105,754,288.48/9,888.16
  6. Step 6: Final answer
    x = 10,695.04

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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.