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Finding the Fourth Proportional to 6,209.64, 9,314.37 and 1,529.70

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Solution

The fourth proportional to 6,209.64, 9,314.37 and 1,529.70 is: 2,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.64 : 9,314.37 = 1,529.70 : x
  2. Step 2: Convert to fraction form
    6,209.64/9,314.37 = 1,529.70/x
  3. Step 3: Cross multiply
    6,209.64x = 9,314.37 × 1,529.70
  4. Step 4: Simplify right side
    6,209.64x = 14,248,191.79
  5. Step 5: Solve for x
    x = 14,248,191.79/6,209.64
  6. Step 6: Final answer
    x = 2,294.53

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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.