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Finding the Fourth Proportional to 6,657.41, 9,969.03 and 6,460.33

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Solution

The fourth proportional to 6,657.41, 9,969.03 and 6,460.33 is: 9,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.41 : 9,969.03 = 6,460.33 : x
  2. Step 2: Convert to fraction form
    6,657.41/9,969.03 = 6,460.33/x
  3. Step 3: Cross multiply
    6,657.41x = 9,969.03 × 6,460.33
  4. Step 4: Simplify right side
    6,657.41x = 64,403,223.58
  5. Step 5: Solve for x
    x = 64,403,223.58/6,657.41
  6. Step 6: Final answer
    x = 9,673.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.