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Finding the Fourth Proportional to 9,275.77, 13,916.09 and 2,702.01

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Solution

The fourth proportional to 9,275.77, 13,916.09 and 2,702.01 is: 4,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.77 : 13,916.09 = 2,702.01 : x
  2. Step 2: Convert to fraction form
    9,275.77/13,916.09 = 2,702.01/x
  3. Step 3: Cross multiply
    9,275.77x = 13,916.09 × 2,702.01
  4. Step 4: Simplify right side
    9,275.77x = 37,601,414.34
  5. Step 5: Solve for x
    x = 37,601,414.34/9,275.77
  6. Step 6: Final answer
    x = 4,053.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.