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Finding the Fourth Proportional to 9,948.58, 13,729.05 and 5,756.90

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Solution

The fourth proportional to 9,948.58, 13,729.05 and 5,756.90 is: 7,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.58 : 13,729.05 = 5,756.90 : x
  2. Step 2: Convert to fraction form
    9,948.58/13,729.05 = 5,756.90/x
  3. Step 3: Cross multiply
    9,948.58x = 13,729.05 × 5,756.90
  4. Step 4: Simplify right side
    9,948.58x = 79,036,767.95
  5. Step 5: Solve for x
    x = 79,036,767.95/9,948.58
  6. Step 6: Final answer
    x = 7,944.53

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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.