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Finding the Fourth Proportional to 9,498.87, 13,099.91 and 7,910.76

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Solution

The fourth proportional to 9,498.87, 13,099.91 and 7,910.76 is: 10,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.87 : 13,099.91 = 7,910.76 : x
  2. Step 2: Convert to fraction form
    9,498.87/13,099.91 = 7,910.76/x
  3. Step 3: Cross multiply
    9,498.87x = 13,099.91 × 7,910.76
  4. Step 4: Simplify right side
    9,498.87x = 103,630,244.03
  5. Step 5: Solve for x
    x = 103,630,244.03/9,498.87
  6. Step 6: Final answer
    x = 10,909.74

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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.