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Finding the Fourth Proportional to 8,969.34, 13,454.76 and 2,395.50

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Solution

The fourth proportional to 8,969.34, 13,454.76 and 2,395.50 is: 3,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.34 : 13,454.76 = 2,395.50 : x
  2. Step 2: Convert to fraction form
    8,969.34/13,454.76 = 2,395.50/x
  3. Step 3: Cross multiply
    8,969.34x = 13,454.76 × 2,395.50
  4. Step 4: Simplify right side
    8,969.34x = 32,230,877.58
  5. Step 5: Solve for x
    x = 32,230,877.58/8,969.34
  6. Step 6: Final answer
    x = 3,593.45

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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.