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Finding the Fourth Proportional to 6,009.66, 9,012.81 and 2,498.46

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Solution

The fourth proportional to 6,009.66, 9,012.81 and 2,498.46 is: 3,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.66 : 9,012.81 = 2,498.46 : x
  2. Step 2: Convert to fraction form
    6,009.66/9,012.81 = 2,498.46/x
  3. Step 3: Cross multiply
    6,009.66x = 9,012.81 × 2,498.46
  4. Step 4: Simplify right side
    6,009.66x = 22,518,145.27
  5. Step 5: Solve for x
    x = 22,518,145.27/6,009.66
  6. Step 6: Final answer
    x = 3,746.99

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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.