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Finding the Fourth Proportional to 9,823.68, 13,549.68 and 6,041.90

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Solution

The fourth proportional to 9,823.68, 13,549.68 and 6,041.90 is: 8,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.68 : 13,549.68 = 6,041.90 : x
  2. Step 2: Convert to fraction form
    9,823.68/13,549.68 = 6,041.90/x
  3. Step 3: Cross multiply
    9,823.68x = 13,549.68 × 6,041.90
  4. Step 4: Simplify right side
    9,823.68x = 81,865,811.59
  5. Step 5: Solve for x
    x = 81,865,811.59/9,823.68
  6. Step 6: Final answer
    x = 8,333.52

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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.