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Finding the Fourth Proportional to 7,122.47, 9,828.74 and 3,935.70

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Solution

The fourth proportional to 7,122.47, 9,828.74 and 3,935.70 is: 5,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.47 : 9,828.74 = 3,935.70 : x
  2. Step 2: Convert to fraction form
    7,122.47/9,828.74 = 3,935.70/x
  3. Step 3: Cross multiply
    7,122.47x = 9,828.74 × 3,935.70
  4. Step 4: Simplify right side
    7,122.47x = 38,682,981.86
  5. Step 5: Solve for x
    x = 38,682,981.86/7,122.47
  6. Step 6: Final answer
    x = 5,431.12

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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.