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Finding the Fourth Proportional to 9,920.32, 14,851.58 and 5,229.16

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Solution

The fourth proportional to 9,920.32, 14,851.58 and 5,229.16 is: 7,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.32 : 14,851.58 = 5,229.16 : x
  2. Step 2: Convert to fraction form
    9,920.32/14,851.58 = 5,229.16/x
  3. Step 3: Cross multiply
    9,920.32x = 14,851.58 × 5,229.16
  4. Step 4: Simplify right side
    9,920.32x = 77,661,288.07
  5. Step 5: Solve for x
    x = 77,661,288.07/9,920.32
  6. Step 6: Final answer
    x = 7,828.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.