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Finding the Fourth Proportional to 7,065.02, 9,749.85 and 3,878.62

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Solution

The fourth proportional to 7,065.02, 9,749.85 and 3,878.62 is: 5,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.02 : 9,749.85 = 3,878.62 : x
  2. Step 2: Convert to fraction form
    7,065.02/9,749.85 = 3,878.62/x
  3. Step 3: Cross multiply
    7,065.02x = 9,749.85 × 3,878.62
  4. Step 4: Simplify right side
    7,065.02x = 37,815,938.83
  5. Step 5: Solve for x
    x = 37,815,938.83/7,065.02
  6. Step 6: Final answer
    x = 5,352.56

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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.