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Finding the Fourth Proportional to 9,862.07, 14,784.46 and 3,710.39

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Solution

The fourth proportional to 9,862.07, 14,784.46 and 3,710.39 is: 5,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.07 : 14,784.46 = 3,710.39 : x
  2. Step 2: Convert to fraction form
    9,862.07/14,784.46 = 3,710.39/x
  3. Step 3: Cross multiply
    9,862.07x = 14,784.46 × 3,710.39
  4. Step 4: Simplify right side
    9,862.07x = 54,856,112.54
  5. Step 5: Solve for x
    x = 54,856,112.54/9,862.07
  6. Step 6: Final answer
    x = 5,562.33

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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.