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Finding the Fourth Proportional to 6,898.01, 9,518.47 and 4,065.19

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Solution

The fourth proportional to 6,898.01, 9,518.47 and 4,065.19 is: 5,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.01 : 9,518.47 = 4,065.19 : x
  2. Step 2: Convert to fraction form
    6,898.01/9,518.47 = 4,065.19/x
  3. Step 3: Cross multiply
    6,898.01x = 9,518.47 × 4,065.19
  4. Step 4: Simplify right side
    6,898.01x = 38,694,355.10
  5. Step 5: Solve for x
    x = 38,694,355.10/6,898.01
  6. Step 6: Final answer
    x = 5,609.50

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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.