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Finding the Fourth Proportional to 9,700.62, 13,386.74 and 5,452.40

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Solution

The fourth proportional to 9,700.62, 13,386.74 and 5,452.40 is: 7,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.62 : 13,386.74 = 5,452.40 : x
  2. Step 2: Convert to fraction form
    9,700.62/13,386.74 = 5,452.40/x
  3. Step 3: Cross multiply
    9,700.62x = 13,386.74 × 5,452.40
  4. Step 4: Simplify right side
    9,700.62x = 72,989,766.98
  5. Step 5: Solve for x
    x = 72,989,766.98/9,700.62
  6. Step 6: Final answer
    x = 7,524.24

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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.