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Finding the Fourth Proportional to 9,934.84, 13,711.44 and 5,742.28

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Solution

The fourth proportional to 9,934.84, 13,711.44 and 5,742.28 is: 7,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.84 : 13,711.44 = 5,742.28 : x
  2. Step 2: Convert to fraction form
    9,934.84/13,711.44 = 5,742.28/x
  3. Step 3: Cross multiply
    9,934.84x = 13,711.44 × 5,742.28
  4. Step 4: Simplify right side
    9,934.84x = 78,734,927.68
  5. Step 5: Solve for x
    x = 78,734,927.68/9,934.84
  6. Step 6: Final answer
    x = 7,925.13

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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.