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Finding the Fourth Proportional to 7,132.09, 9,840 and 3,987.67

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Solution

The fourth proportional to 7,132.09, 9,840 and 3,987.67 is: 5,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.09 : 9,840 = 3,987.67 : x
  2. Step 2: Convert to fraction form
    7,132.09/9,840 = 3,987.67/x
  3. Step 3: Cross multiply
    7,132.09x = 9,840 × 3,987.67
  4. Step 4: Simplify right side
    7,132.09x = 39,238,672.80
  5. Step 5: Solve for x
    x = 39,238,672.80/7,132.09
  6. Step 6: Final answer
    x = 5,501.71

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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.