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Finding the Fourth Proportional to 9,351.63, 14,024.66 and 3,506.87

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Solution

The fourth proportional to 9,351.63, 14,024.66 and 3,506.87 is: 5,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.63 : 14,024.66 = 3,506.87 : x
  2. Step 2: Convert to fraction form
    9,351.63/14,024.66 = 3,506.87/x
  3. Step 3: Cross multiply
    9,351.63x = 14,024.66 × 3,506.87
  4. Step 4: Simplify right side
    9,351.63x = 49,182,659.41
  5. Step 5: Solve for x
    x = 49,182,659.41/9,351.63
  6. Step 6: Final answer
    x = 5,259.26

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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.