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Finding the Fourth Proportional to 6,624.33, 9,139.58 and 3,970.77

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Solution

The fourth proportional to 6,624.33, 9,139.58 and 3,970.77 is: 5,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.33 : 9,139.58 = 3,970.77 : x
  2. Step 2: Convert to fraction form
    6,624.33/9,139.58 = 3,970.77/x
  3. Step 3: Cross multiply
    6,624.33x = 9,139.58 × 3,970.77
  4. Step 4: Simplify right side
    6,624.33x = 36,291,104.52
  5. Step 5: Solve for x
    x = 36,291,104.52/6,624.33
  6. Step 6: Final answer
    x = 5,478.46

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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.