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Finding the Fourth Proportional to 6,641.87, 9,884.40 and 6,420.41

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Solution

The fourth proportional to 6,641.87, 9,884.40 and 6,420.41 is: 9,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.87 : 9,884.40 = 6,420.41 : x
  2. Step 2: Convert to fraction form
    6,641.87/9,884.40 = 6,420.41/x
  3. Step 3: Cross multiply
    6,641.87x = 9,884.40 × 6,420.41
  4. Step 4: Simplify right side
    6,641.87x = 63,461,851.18
  5. Step 5: Solve for x
    x = 63,461,851.18/6,641.87
  6. Step 6: Final answer
    x = 9,554.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.