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Finding the Fourth Proportional to 9,675.65, 13,360.07 and 7,781.16

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Solution

The fourth proportional to 9,675.65, 13,360.07 and 7,781.16 is: 10,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.65 : 13,360.07 = 7,781.16 : x
  2. Step 2: Convert to fraction form
    9,675.65/13,360.07 = 7,781.16/x
  3. Step 3: Cross multiply
    9,675.65x = 13,360.07 × 7,781.16
  4. Step 4: Simplify right side
    9,675.65x = 103,956,842.28
  5. Step 5: Solve for x
    x = 103,956,842.28/9,675.65
  6. Step 6: Final answer
    x = 10,744.18

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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.