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Finding the Fourth Proportional to 9,173.92, 12,666 and 6,386.08

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Solution

The fourth proportional to 9,173.92, 12,666 and 6,386.08 is: 8,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.92 : 12,666 = 6,386.08 : x
  2. Step 2: Convert to fraction form
    9,173.92/12,666 = 6,386.08/x
  3. Step 3: Cross multiply
    9,173.92x = 12,666 × 6,386.08
  4. Step 4: Simplify right side
    9,173.92x = 80,886,089.28
  5. Step 5: Solve for x
    x = 80,886,089.28/9,173.92
  6. Step 6: Final answer
    x = 8,816.96

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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.