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Finding the Fourth Proportional to 9,231.84, 12,740.22 and 5,253.53

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Solution

The fourth proportional to 9,231.84, 12,740.22 and 5,253.53 is: 7,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.84 : 12,740.22 = 5,253.53 : x
  2. Step 2: Convert to fraction form
    9,231.84/12,740.22 = 5,253.53/x
  3. Step 3: Cross multiply
    9,231.84x = 12,740.22 × 5,253.53
  4. Step 4: Simplify right side
    9,231.84x = 66,931,064.28
  5. Step 5: Solve for x
    x = 66,931,064.28/9,231.84
  6. Step 6: Final answer
    x = 7,250.02

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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.