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Finding the Fourth Proportional to 9,123.80, 13,694.16 and 4,684.64

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Solution

The fourth proportional to 9,123.80, 13,694.16 and 4,684.64 is: 7,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.80 : 13,694.16 = 4,684.64 : x
  2. Step 2: Convert to fraction form
    9,123.80/13,694.16 = 4,684.64/x
  3. Step 3: Cross multiply
    9,123.80x = 13,694.16 × 4,684.64
  4. Step 4: Simplify right side
    9,123.80x = 64,152,209.70
  5. Step 5: Solve for x
    x = 64,152,209.70/9,123.80
  6. Step 6: Final answer
    x = 7,031.30

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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.