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Finding the Fourth Proportional to 10,641.98, 15,977.07 and 9,091.94

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Solution

The fourth proportional to 10,641.98, 15,977.07 and 9,091.94 is: 13,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.98 : 15,977.07 = 9,091.94 : x
  2. Step 2: Convert to fraction form
    10,641.98/15,977.07 = 9,091.94/x
  3. Step 3: Cross multiply
    10,641.98x = 15,977.07 × 9,091.94
  4. Step 4: Simplify right side
    10,641.98x = 145,262,561.82
  5. Step 5: Solve for x
    x = 145,262,561.82/10,641.98
  6. Step 6: Final answer
    x = 13,649.96

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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.