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Finding the Fourth Proportional to 9,948.66, 13,729.08 and 5,642.57

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Solution

The fourth proportional to 9,948.66, 13,729.08 and 5,642.57 is: 7,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.66 : 13,729.08 = 5,642.57 : x
  2. Step 2: Convert to fraction form
    9,948.66/13,729.08 = 5,642.57/x
  3. Step 3: Cross multiply
    9,948.66x = 13,729.08 × 5,642.57
  4. Step 4: Simplify right side
    9,948.66x = 77,467,222.29
  5. Step 5: Solve for x
    x = 77,467,222.29/9,948.66
  6. Step 6: Final answer
    x = 7,786.70

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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.