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Finding the Fourth Proportional to 9,569.34, 14,361.03 and 6,281.28

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Solution

The fourth proportional to 9,569.34, 14,361.03 and 6,281.28 is: 9,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.34 : 14,361.03 = 6,281.28 : x
  2. Step 2: Convert to fraction form
    9,569.34/14,361.03 = 6,281.28/x
  3. Step 3: Cross multiply
    9,569.34x = 14,361.03 × 6,281.28
  4. Step 4: Simplify right side
    9,569.34x = 90,205,650.52
  5. Step 5: Solve for x
    x = 90,205,650.52/9,569.34
  6. Step 6: Final answer
    x = 9,426.53

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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.