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Finding the Fourth Proportional to 9,707.42, 13,395.48 and 5,400.66

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Solution

The fourth proportional to 9,707.42, 13,395.48 and 5,400.66 is: 7,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.42 : 13,395.48 = 5,400.66 : x
  2. Step 2: Convert to fraction form
    9,707.42/13,395.48 = 5,400.66/x
  3. Step 3: Cross multiply
    9,707.42x = 13,395.48 × 5,400.66
  4. Step 4: Simplify right side
    9,707.42x = 72,344,433.02
  5. Step 5: Solve for x
    x = 72,344,433.02/9,707.42
  6. Step 6: Final answer
    x = 7,452.49

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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.