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Finding the Fourth Proportional to 9,115.12, 13,667.82 and 4,728.16

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Solution

The fourth proportional to 9,115.12, 13,667.82 and 4,728.16 is: 7,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.12 : 13,667.82 = 4,728.16 : x
  2. Step 2: Convert to fraction form
    9,115.12/13,667.82 = 4,728.16/x
  3. Step 3: Cross multiply
    9,115.12x = 13,667.82 × 4,728.16
  4. Step 4: Simplify right side
    9,115.12x = 64,623,639.81
  5. Step 5: Solve for x
    x = 64,623,639.81/9,115.12
  6. Step 6: Final answer
    x = 7,089.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.