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Finding the Fourth Proportional to 9,775.32, 14,668.98 and 8,151.96

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Solution

The fourth proportional to 9,775.32, 14,668.98 and 8,151.96 is: 12,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.32 : 14,668.98 = 8,151.96 : x
  2. Step 2: Convert to fraction form
    9,775.32/14,668.98 = 8,151.96/x
  3. Step 3: Cross multiply
    9,775.32x = 14,668.98 × 8,151.96
  4. Step 4: Simplify right side
    9,775.32x = 119,580,938.20
  5. Step 5: Solve for x
    x = 119,580,938.20/9,775.32
  6. Step 6: Final answer
    x = 12,232.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.