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Finding the Fourth Proportional to 6,112.64, 9,169.14 and 1,730.46

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Solution

The fourth proportional to 6,112.64, 9,169.14 and 1,730.46 is: 2,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.64 : 9,169.14 = 1,730.46 : x
  2. Step 2: Convert to fraction form
    6,112.64/9,169.14 = 1,730.46/x
  3. Step 3: Cross multiply
    6,112.64x = 9,169.14 × 1,730.46
  4. Step 4: Simplify right side
    6,112.64x = 15,866,830.00
  5. Step 5: Solve for x
    x = 15,866,830.00/6,112.64
  6. Step 6: Final answer
    x = 2,595.74

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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.