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Finding the Fourth Proportional to 9,355.71, 12,914.03 and 6,177.72

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Solution

The fourth proportional to 9,355.71, 12,914.03 and 6,177.72 is: 8,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.71 : 12,914.03 = 6,177.72 : x
  2. Step 2: Convert to fraction form
    9,355.71/12,914.03 = 6,177.72/x
  3. Step 3: Cross multiply
    9,355.71x = 12,914.03 × 6,177.72
  4. Step 4: Simplify right side
    9,355.71x = 79,779,230.52
  5. Step 5: Solve for x
    x = 79,779,230.52/9,355.71
  6. Step 6: Final answer
    x = 8,527.33

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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.