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Finding the Fourth Proportional to 7,062.52, 9,746.46 and 3,875.95

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Solution

The fourth proportional to 7,062.52, 9,746.46 and 3,875.95 is: 5,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.52 : 9,746.46 = 3,875.95 : x
  2. Step 2: Convert to fraction form
    7,062.52/9,746.46 = 3,875.95/x
  3. Step 3: Cross multiply
    7,062.52x = 9,746.46 × 3,875.95
  4. Step 4: Simplify right side
    7,062.52x = 37,776,791.64
  5. Step 5: Solve for x
    x = 37,776,791.64/7,062.52
  6. Step 6: Final answer
    x = 5,348.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.