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Finding the Fourth Proportional to 6,488.36, 9,732.54 and 2,106.26

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Solution

The fourth proportional to 6,488.36, 9,732.54 and 2,106.26 is: 3,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.36 : 9,732.54 = 2,106.26 : x
  2. Step 2: Convert to fraction form
    6,488.36/9,732.54 = 2,106.26/x
  3. Step 3: Cross multiply
    6,488.36x = 9,732.54 × 2,106.26
  4. Step 4: Simplify right side
    6,488.36x = 20,499,259.70
  5. Step 5: Solve for x
    x = 20,499,259.70/6,488.36
  6. Step 6: Final answer
    x = 3,159.39

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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.