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Finding the Fourth Proportional to 6,207.95, 9,312.45 and 1,765.64

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Solution

The fourth proportional to 6,207.95, 9,312.45 and 1,765.64 is: 2,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.95 : 9,312.45 = 1,765.64 : x
  2. Step 2: Convert to fraction form
    6,207.95/9,312.45 = 1,765.64/x
  3. Step 3: Cross multiply
    6,207.95x = 9,312.45 × 1,765.64
  4. Step 4: Simplify right side
    6,207.95x = 16,442,434.22
  5. Step 5: Solve for x
    x = 16,442,434.22/6,207.95
  6. Step 6: Final answer
    x = 2,648.61

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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.