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Finding the Fourth Proportional to 9,322.08, 12,864.49 and 5,130.33

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Solution

The fourth proportional to 9,322.08, 12,864.49 and 5,130.33 is: 7,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.08 : 12,864.49 = 5,130.33 : x
  2. Step 2: Convert to fraction form
    9,322.08/12,864.49 = 5,130.33/x
  3. Step 3: Cross multiply
    9,322.08x = 12,864.49 × 5,130.33
  4. Step 4: Simplify right side
    9,322.08x = 65,999,059.65
  5. Step 5: Solve for x
    x = 65,999,059.65/9,322.08
  6. Step 6: Final answer
    x = 7,079.87

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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.