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Finding the Fourth Proportional to 9,272.10, 13,908.10 and 3,116.10

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Solution

The fourth proportional to 9,272.10, 13,908.10 and 3,116.10 is: 4,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.10 : 13,908.10 = 3,116.10 : x
  2. Step 2: Convert to fraction form
    9,272.10/13,908.10 = 3,116.10/x
  3. Step 3: Cross multiply
    9,272.10x = 13,908.10 × 3,116.10
  4. Step 4: Simplify right side
    9,272.10x = 43,339,030.41
  5. Step 5: Solve for x
    x = 43,339,030.41/9,272.10
  6. Step 6: Final answer
    x = 4,674.13

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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.