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Finding the Fourth Proportional to 9,257.86, 12,762.55 and 6,600.65

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Solution

The fourth proportional to 9,257.86, 12,762.55 and 6,600.65 is: 9,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.86 : 12,762.55 = 6,600.65 : x
  2. Step 2: Convert to fraction form
    9,257.86/12,762.55 = 6,600.65/x
  3. Step 3: Cross multiply
    9,257.86x = 12,762.55 × 6,600.65
  4. Step 4: Simplify right side
    9,257.86x = 84,241,125.66
  5. Step 5: Solve for x
    x = 84,241,125.66/9,257.86
  6. Step 6: Final answer
    x = 9,099.42

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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.