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Finding the Fourth Proportional to 7,100.29, 9,798.44 and 4,117.90

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Solution

The fourth proportional to 7,100.29, 9,798.44 and 4,117.90 is: 5,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.29 : 9,798.44 = 4,117.90 : x
  2. Step 2: Convert to fraction form
    7,100.29/9,798.44 = 4,117.90/x
  3. Step 3: Cross multiply
    7,100.29x = 9,798.44 × 4,117.90
  4. Step 4: Simplify right side
    7,100.29x = 40,348,981.87
  5. Step 5: Solve for x
    x = 40,348,981.87/7,100.29
  6. Step 6: Final answer
    x = 5,682.72

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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.