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Finding the Fourth Proportional to 9,095.64, 13,564.34 and 8,087.69

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Solution

The fourth proportional to 9,095.64, 13,564.34 and 8,087.69 is: 12,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.64 : 13,564.34 = 8,087.69 : x
  2. Step 2: Convert to fraction form
    9,095.64/13,564.34 = 8,087.69/x
  3. Step 3: Cross multiply
    9,095.64x = 13,564.34 × 8,087.69
  4. Step 4: Simplify right side
    9,095.64x = 109,704,082.65
  5. Step 5: Solve for x
    x = 109,704,082.65/9,095.64
  6. Step 6: Final answer
    x = 12,061.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.