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Finding the Fourth Proportional to 9,901.95, 13,659.21 and 6,124.47

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Solution

The fourth proportional to 9,901.95, 13,659.21 and 6,124.47 is: 8,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.95 : 13,659.21 = 6,124.47 : x
  2. Step 2: Convert to fraction form
    9,901.95/13,659.21 = 6,124.47/x
  3. Step 3: Cross multiply
    9,901.95x = 13,659.21 × 6,124.47
  4. Step 4: Simplify right side
    9,901.95x = 83,655,421.87
  5. Step 5: Solve for x
    x = 83,655,421.87/9,901.95
  6. Step 6: Final answer
    x = 8,448.38

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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.