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Finding the Fourth Proportional to 6,898.50, 9,521.01 and 4,105.62

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Solution

The fourth proportional to 6,898.50, 9,521.01 and 4,105.62 is: 5,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.50 : 9,521.01 = 4,105.62 : x
  2. Step 2: Convert to fraction form
    6,898.50/9,521.01 = 4,105.62/x
  3. Step 3: Cross multiply
    6,898.50x = 9,521.01 × 4,105.62
  4. Step 4: Simplify right side
    6,898.50x = 39,089,649.08
  5. Step 5: Solve for x
    x = 39,089,649.08/6,898.50
  6. Step 6: Final answer
    x = 5,666.40

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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.