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Finding the Fourth Proportional to 9,649.40, 13,321.14 and 6,297.08

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Solution

The fourth proportional to 9,649.40, 13,321.14 and 6,297.08 is: 8,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.40 : 13,321.14 = 6,297.08 : x
  2. Step 2: Convert to fraction form
    9,649.40/13,321.14 = 6,297.08/x
  3. Step 3: Cross multiply
    9,649.40x = 13,321.14 × 6,297.08
  4. Step 4: Simplify right side
    9,649.40x = 83,884,284.27
  5. Step 5: Solve for x
    x = 83,884,284.27/9,649.40
  6. Step 6: Final answer
    x = 8,693.21

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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.