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Finding the Fourth Proportional to 6,005.68, 9,008.66 and 1,563.52

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Solution

The fourth proportional to 6,005.68, 9,008.66 and 1,563.52 is: 2,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.68 : 9,008.66 = 1,563.52 : x
  2. Step 2: Convert to fraction form
    6,005.68/9,008.66 = 1,563.52/x
  3. Step 3: Cross multiply
    6,005.68x = 9,008.66 × 1,563.52
  4. Step 4: Simplify right side
    6,005.68x = 14,085,189.74
  5. Step 5: Solve for x
    x = 14,085,189.74/6,005.68
  6. Step 6: Final answer
    x = 2,345.31

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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.