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Finding the Fourth Proportional to 9,155.61, 12,632.63 and 6,176.97

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Solution

The fourth proportional to 9,155.61, 12,632.63 and 6,176.97 is: 8,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.61 : 12,632.63 = 6,176.97 : x
  2. Step 2: Convert to fraction form
    9,155.61/12,632.63 = 6,176.97/x
  3. Step 3: Cross multiply
    9,155.61x = 12,632.63 × 6,176.97
  4. Step 4: Simplify right side
    9,155.61x = 78,031,345.65
  5. Step 5: Solve for x
    x = 78,031,345.65/9,155.61
  6. Step 6: Final answer
    x = 8,522.79

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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.