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Finding the Fourth Proportional to 9,275.49, 13,914.54 and 2,702.16

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Solution

The fourth proportional to 9,275.49, 13,914.54 and 2,702.16 is: 4,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.49 : 13,914.54 = 2,702.16 : x
  2. Step 2: Convert to fraction form
    9,275.49/13,914.54 = 2,702.16/x
  3. Step 3: Cross multiply
    9,275.49x = 13,914.54 × 2,702.16
  4. Step 4: Simplify right side
    9,275.49x = 37,599,313.41
  5. Step 5: Solve for x
    x = 37,599,313.41/9,275.49
  6. Step 6: Final answer
    x = 4,053.62

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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.