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Finding the Fourth Proportional to 9,232.34, 13,860.80 and 7,854.53

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Solution

The fourth proportional to 9,232.34, 13,860.80 and 7,854.53 is: 11,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.34 : 13,860.80 = 7,854.53 : x
  2. Step 2: Convert to fraction form
    9,232.34/13,860.80 = 7,854.53/x
  3. Step 3: Cross multiply
    9,232.34x = 13,860.80 × 7,854.53
  4. Step 4: Simplify right side
    9,232.34x = 108,869,960.85
  5. Step 5: Solve for x
    x = 108,869,960.85/9,232.34
  6. Step 6: Final answer
    x = 11,792.25

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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.