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Finding the Fourth Proportional to 9,834.99, 13,565.51 and 6,296.60

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Solution

The fourth proportional to 9,834.99, 13,565.51 and 6,296.60 is: 8,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.99 : 13,565.51 = 6,296.60 : x
  2. Step 2: Convert to fraction form
    9,834.99/13,565.51 = 6,296.60/x
  3. Step 3: Cross multiply
    9,834.99x = 13,565.51 × 6,296.60
  4. Step 4: Simplify right side
    9,834.99x = 85,416,616.31
  5. Step 5: Solve for x
    x = 85,416,616.31/9,834.99
  6. Step 6: Final answer
    x = 8,684.98

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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.