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Finding the Fourth Proportional to 9,612.02, 14,418.30 and 2,686.52

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Solution

The fourth proportional to 9,612.02, 14,418.30 and 2,686.52 is: 4,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.02 : 14,418.30 = 2,686.52 : x
  2. Step 2: Convert to fraction form
    9,612.02/14,418.30 = 2,686.52/x
  3. Step 3: Cross multiply
    9,612.02x = 14,418.30 × 2,686.52
  4. Step 4: Simplify right side
    9,612.02x = 38,735,051.32
  5. Step 5: Solve for x
    x = 38,735,051.32/9,612.02
  6. Step 6: Final answer
    x = 4,029.86

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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.