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Finding the Fourth Proportional to 9,901.90, 14,854.54 and 3,661.93

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Solution

The fourth proportional to 9,901.90, 14,854.54 and 3,661.93 is: 5,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.90 : 14,854.54 = 3,661.93 : x
  2. Step 2: Convert to fraction form
    9,901.90/14,854.54 = 3,661.93/x
  3. Step 3: Cross multiply
    9,901.90x = 14,854.54 × 3,661.93
  4. Step 4: Simplify right side
    9,901.90x = 54,396,285.66
  5. Step 5: Solve for x
    x = 54,396,285.66/9,901.90
  6. Step 6: Final answer
    x = 5,493.52

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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.