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Finding the Fourth Proportional to 9,649.95, 13,317.17 and 5,400.98

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Solution

The fourth proportional to 9,649.95, 13,317.17 and 5,400.98 is: 7,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.95 : 13,317.17 = 5,400.98 : x
  2. Step 2: Convert to fraction form
    9,649.95/13,317.17 = 5,400.98/x
  3. Step 3: Cross multiply
    9,649.95x = 13,317.17 × 5,400.98
  4. Step 4: Simplify right side
    9,649.95x = 71,925,702.24
  5. Step 5: Solve for x
    x = 71,925,702.24/9,649.95
  6. Step 6: Final answer
    x = 7,453.48

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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.