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Finding the Fourth Proportional to 9,151.38, 12,580.41 and 7,870.56

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Solution

The fourth proportional to 9,151.38, 12,580.41 and 7,870.56 is: 10,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.38 : 12,580.41 = 7,870.56 : x
  2. Step 2: Convert to fraction form
    9,151.38/12,580.41 = 7,870.56/x
  3. Step 3: Cross multiply
    9,151.38x = 12,580.41 × 7,870.56
  4. Step 4: Simplify right side
    9,151.38x = 99,014,871.73
  5. Step 5: Solve for x
    x = 99,014,871.73/9,151.38
  6. Step 6: Final answer
    x = 10,819.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.