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Finding the Fourth Proportional to 9,649.75, 14,456.40 and 7,559.95

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Solution

The fourth proportional to 9,649.75, 14,456.40 and 7,559.95 is: 11,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.75 : 14,456.40 = 7,559.95 : x
  2. Step 2: Convert to fraction form
    9,649.75/14,456.40 = 7,559.95/x
  3. Step 3: Cross multiply
    9,649.75x = 14,456.40 × 7,559.95
  4. Step 4: Simplify right side
    9,649.75x = 109,289,661.18
  5. Step 5: Solve for x
    x = 109,289,661.18/9,649.75
  6. Step 6: Final answer
    x = 11,325.65

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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.