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Finding the Fourth Proportional to 9,322.12, 12,864.42 and 5,130.28

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Solution

The fourth proportional to 9,322.12, 12,864.42 and 5,130.28 is: 7,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.12 : 12,864.42 = 5,130.28 : x
  2. Step 2: Convert to fraction form
    9,322.12/12,864.42 = 5,130.28/x
  3. Step 3: Cross multiply
    9,322.12x = 12,864.42 × 5,130.28
  4. Step 4: Simplify right side
    9,322.12x = 65,998,076.64
  5. Step 5: Solve for x
    x = 65,998,076.64/9,322.12
  6. Step 6: Final answer
    x = 7,079.73

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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.