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Finding the Fourth Proportional to 9,233.68, 12,738.72 and 6,440.80

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Solution

The fourth proportional to 9,233.68, 12,738.72 and 6,440.80 is: 8,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.68 : 12,738.72 = 6,440.80 : x
  2. Step 2: Convert to fraction form
    9,233.68/12,738.72 = 6,440.80/x
  3. Step 3: Cross multiply
    9,233.68x = 12,738.72 × 6,440.80
  4. Step 4: Simplify right side
    9,233.68x = 82,047,547.78
  5. Step 5: Solve for x
    x = 82,047,547.78/9,233.68
  6. Step 6: Final answer
    x = 8,885.68

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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.