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Finding the Fourth Proportional to 6,645.75, 9,155.70 and 4,652.70

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Solution

The fourth proportional to 6,645.75, 9,155.70 and 4,652.70 is: 6,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.75 : 9,155.70 = 4,652.70 : x
  2. Step 2: Convert to fraction form
    6,645.75/9,155.70 = 4,652.70/x
  3. Step 3: Cross multiply
    6,645.75x = 9,155.70 × 4,652.70
  4. Step 4: Simplify right side
    6,645.75x = 42,598,725.39
  5. Step 5: Solve for x
    x = 42,598,725.39/6,645.75
  6. Step 6: Final answer
    x = 6,409.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.