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Finding the Fourth Proportional to 9,594.80, 14,392.20 and 9,230.30

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Solution

The fourth proportional to 9,594.80, 14,392.20 and 9,230.30 is: 13,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.80 : 14,392.20 = 9,230.30 : x
  2. Step 2: Convert to fraction form
    9,594.80/14,392.20 = 9,230.30/x
  3. Step 3: Cross multiply
    9,594.80x = 14,392.20 × 9,230.30
  4. Step 4: Simplify right side
    9,594.80x = 132,844,323.66
  5. Step 5: Solve for x
    x = 132,844,323.66/9,594.80
  6. Step 6: Final answer
    x = 13,845.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.