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Finding the Fourth Proportional to 9,879.18, 13,628.70 and 5,685

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Solution

The fourth proportional to 9,879.18, 13,628.70 and 5,685 is: 7,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.18 : 13,628.70 = 5,685 : x
  2. Step 2: Convert to fraction form
    9,879.18/13,628.70 = 5,685/x
  3. Step 3: Cross multiply
    9,879.18x = 13,628.70 × 5,685
  4. Step 4: Simplify right side
    9,879.18x = 77,479,159.50
  5. Step 5: Solve for x
    x = 77,479,159.50/9,879.18
  6. Step 6: Final answer
    x = 7,842.67

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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.