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Finding the Fourth Proportional to 6,113.13, 9,169.48 and 1,953.37

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Solution

The fourth proportional to 6,113.13, 9,169.48 and 1,953.37 is: 2,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.13 : 9,169.48 = 1,953.37 : x
  2. Step 2: Convert to fraction form
    6,113.13/9,169.48 = 1,953.37/x
  3. Step 3: Cross multiply
    6,113.13x = 9,169.48 × 1,953.37
  4. Step 4: Simplify right side
    6,113.13x = 17,911,387.15
  5. Step 5: Solve for x
    x = 17,911,387.15/6,113.13
  6. Step 6: Final answer
    x = 2,929.99

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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.