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Finding the Fourth Proportional to 9,649.35, 13,316.75 and 5,400.78

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Solution

The fourth proportional to 9,649.35, 13,316.75 and 5,400.78 is: 7,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.35 : 13,316.75 = 5,400.78 : x
  2. Step 2: Convert to fraction form
    9,649.35/13,316.75 = 5,400.78/x
  3. Step 3: Cross multiply
    9,649.35x = 13,316.75 × 5,400.78
  4. Step 4: Simplify right side
    9,649.35x = 71,920,810.06
  5. Step 5: Solve for x
    x = 71,920,810.06/9,649.35
  6. Step 6: Final answer
    x = 7,453.44

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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.