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Finding the Fourth Proportional to 6,410.99, 9,602.51 and 3,117.13

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Solution

The fourth proportional to 6,410.99, 9,602.51 and 3,117.13 is: 4,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.99 : 9,602.51 = 3,117.13 : x
  2. Step 2: Convert to fraction form
    6,410.99/9,602.51 = 3,117.13/x
  3. Step 3: Cross multiply
    6,410.99x = 9,602.51 × 3,117.13
  4. Step 4: Simplify right side
    6,410.99x = 29,932,272.00
  5. Step 5: Solve for x
    x = 29,932,272.00/6,410.99
  6. Step 6: Final answer
    x = 4,668.90

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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.