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Finding the Fourth Proportional to 7,102.06, 9,800.69 and 4,117.82

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Solution

The fourth proportional to 7,102.06, 9,800.69 and 4,117.82 is: 5,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.06 : 9,800.69 = 4,117.82 : x
  2. Step 2: Convert to fraction form
    7,102.06/9,800.69 = 4,117.82/x
  3. Step 3: Cross multiply
    7,102.06x = 9,800.69 × 4,117.82
  4. Step 4: Simplify right side
    7,102.06x = 40,357,407.70
  5. Step 5: Solve for x
    x = 40,357,407.70/7,102.06
  6. Step 6: Final answer
    x = 5,682.50

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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.