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Finding the Fourth Proportional to 9,952.32, 13,732.05 and 5,758.14

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Solution

The fourth proportional to 9,952.32, 13,732.05 and 5,758.14 is: 7,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.32 : 13,732.05 = 5,758.14 : x
  2. Step 2: Convert to fraction form
    9,952.32/13,732.05 = 5,758.14/x
  3. Step 3: Cross multiply
    9,952.32x = 13,732.05 × 5,758.14
  4. Step 4: Simplify right side
    9,952.32x = 79,071,066.39
  5. Step 5: Solve for x
    x = 79,071,066.39/9,952.32
  6. Step 6: Final answer
    x = 7,944.99

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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.