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Finding the Fourth Proportional to 6,645.32, 9,970.24 and 4,177.25

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Solution

The fourth proportional to 6,645.32, 9,970.24 and 4,177.25 is: 6,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.32 : 9,970.24 = 4,177.25 : x
  2. Step 2: Convert to fraction form
    6,645.32/9,970.24 = 4,177.25/x
  3. Step 3: Cross multiply
    6,645.32x = 9,970.24 × 4,177.25
  4. Step 4: Simplify right side
    6,645.32x = 41,648,185.04
  5. Step 5: Solve for x
    x = 41,648,185.04/6,645.32
  6. Step 6: Final answer
    x = 6,267.30

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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.