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Finding the Fourth Proportional to 9,322.68, 13,984.02 and 6,392.10

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Solution

The fourth proportional to 9,322.68, 13,984.02 and 6,392.10 is: 9,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.68 : 13,984.02 = 6,392.10 : x
  2. Step 2: Convert to fraction form
    9,322.68/13,984.02 = 6,392.10/x
  3. Step 3: Cross multiply
    9,322.68x = 13,984.02 × 6,392.10
  4. Step 4: Simplify right side
    9,322.68x = 89,387,254.24
  5. Step 5: Solve for x
    x = 89,387,254.24/9,322.68
  6. Step 6: Final answer
    x = 9,588.15

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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.