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Finding the Fourth Proportional to 7,101.54, 9,800.46 and 4,117.14

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Solution

The fourth proportional to 7,101.54, 9,800.46 and 4,117.14 is: 5,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.54 : 9,800.46 = 4,117.14 : x
  2. Step 2: Convert to fraction form
    7,101.54/9,800.46 = 4,117.14/x
  3. Step 3: Cross multiply
    7,101.54x = 9,800.46 × 4,117.14
  4. Step 4: Simplify right side
    7,101.54x = 40,349,865.88
  5. Step 5: Solve for x
    x = 40,349,865.88/7,101.54
  6. Step 6: Final answer
    x = 5,681.85

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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.