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Finding the Fourth Proportional to 7,098.50, 9,795.47 and 4,114.10

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Solution

The fourth proportional to 7,098.50, 9,795.47 and 4,114.10 is: 5,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.50 : 9,795.47 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    7,098.50/9,795.47 = 4,114.10/x
  3. Step 3: Cross multiply
    7,098.50x = 9,795.47 × 4,114.10
  4. Step 4: Simplify right side
    7,098.50x = 40,299,473.58
  5. Step 5: Solve for x
    x = 40,299,473.58/7,098.50
  6. Step 6: Final answer
    x = 5,677.19

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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.