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Finding the Fourth Proportional to 9,641.18, 14,462.06 and 2,621.14

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Solution

The fourth proportional to 9,641.18, 14,462.06 and 2,621.14 is: 3,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.18 : 14,462.06 = 2,621.14 : x
  2. Step 2: Convert to fraction form
    9,641.18/14,462.06 = 2,621.14/x
  3. Step 3: Cross multiply
    9,641.18x = 14,462.06 × 2,621.14
  4. Step 4: Simplify right side
    9,641.18x = 37,907,034.69
  5. Step 5: Solve for x
    x = 37,907,034.69/9,641.18
  6. Step 6: Final answer
    x = 3,931.78

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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.