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Finding the Fourth Proportional to 9,919.12, 13,687.40 and 5,728.72

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Solution

The fourth proportional to 9,919.12, 13,687.40 and 5,728.72 is: 7,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.12 : 13,687.40 = 5,728.72 : x
  2. Step 2: Convert to fraction form
    9,919.12/13,687.40 = 5,728.72/x
  3. Step 3: Cross multiply
    9,919.12x = 13,687.40 × 5,728.72
  4. Step 4: Simplify right side
    9,919.12x = 78,411,282.13
  5. Step 5: Solve for x
    x = 78,411,282.13/9,919.12
  6. Step 6: Final answer
    x = 7,905.06

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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.