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Finding the Fourth Proportional to 6,207.60, 9,312.48 and 2,509.68

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Solution

The fourth proportional to 6,207.60, 9,312.48 and 2,509.68 is: 3,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.60 : 9,312.48 = 2,509.68 : x
  2. Step 2: Convert to fraction form
    6,207.60/9,312.48 = 2,509.68/x
  3. Step 3: Cross multiply
    6,207.60x = 9,312.48 × 2,509.68
  4. Step 4: Simplify right side
    6,207.60x = 23,371,344.81
  5. Step 5: Solve for x
    x = 23,371,344.81/6,207.60
  6. Step 6: Final answer
    x = 3,764.96

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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.