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Finding the Fourth Proportional to 9,970.97, 13,759.76 and 5,433.69

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Solution

The fourth proportional to 9,970.97, 13,759.76 and 5,433.69 is: 7,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.97 : 13,759.76 = 5,433.69 : x
  2. Step 2: Convert to fraction form
    9,970.97/13,759.76 = 5,433.69/x
  3. Step 3: Cross multiply
    9,970.97x = 13,759.76 × 5,433.69
  4. Step 4: Simplify right side
    9,970.97x = 74,766,280.16
  5. Step 5: Solve for x
    x = 74,766,280.16/9,970.97
  6. Step 6: Final answer
    x = 7,498.40

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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.