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Finding the Fourth Proportional to 9,920.16, 13,689.70 and 5,443.69

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Solution

The fourth proportional to 9,920.16, 13,689.70 and 5,443.69 is: 7,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.16 : 13,689.70 = 5,443.69 : x
  2. Step 2: Convert to fraction form
    9,920.16/13,689.70 = 5,443.69/x
  3. Step 3: Cross multiply
    9,920.16x = 13,689.70 × 5,443.69
  4. Step 4: Simplify right side
    9,920.16x = 74,522,482.99
  5. Step 5: Solve for x
    x = 74,522,482.99/9,920.16
  6. Step 6: Final answer
    x = 7,512.23

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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.