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Finding the Fourth Proportional to 7,102.14, 9,800.37 and 4,117.02

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Solution

The fourth proportional to 7,102.14, 9,800.37 and 4,117.02 is: 5,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.14 : 9,800.37 = 4,117.02 : x
  2. Step 2: Convert to fraction form
    7,102.14/9,800.37 = 4,117.02/x
  3. Step 3: Cross multiply
    7,102.14x = 9,800.37 × 4,117.02
  4. Step 4: Simplify right side
    7,102.14x = 40,348,319.30
  5. Step 5: Solve for x
    x = 40,348,319.30/7,102.14
  6. Step 6: Final answer
    x = 5,681.15

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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.