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Finding the Fourth Proportional to 9,886.20, 14,861.70 and 6,984.60

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Solution

The fourth proportional to 9,886.20, 14,861.70 and 6,984.60 is: 10,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.20 : 14,861.70 = 6,984.60 : x
  2. Step 2: Convert to fraction form
    9,886.20/14,861.70 = 6,984.60/x
  3. Step 3: Cross multiply
    9,886.20x = 14,861.70 × 6,984.60
  4. Step 4: Simplify right side
    9,886.20x = 103,803,029.82
  5. Step 5: Solve for x
    x = 103,803,029.82/9,886.20
  6. Step 6: Final answer
    x = 10,499.79

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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.