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Finding the Fourth Proportional to 9,560.66, 14,326.38 and 4,011

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Solution

The fourth proportional to 9,560.66, 14,326.38 and 4,011 is: 6,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.66 : 14,326.38 = 4,011 : x
  2. Step 2: Convert to fraction form
    9,560.66/14,326.38 = 4,011/x
  3. Step 3: Cross multiply
    9,560.66x = 14,326.38 × 4,011
  4. Step 4: Simplify right side
    9,560.66x = 57,463,110.18
  5. Step 5: Solve for x
    x = 57,463,110.18/9,560.66
  6. Step 6: Final answer
    x = 6,010.37

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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.