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Finding the Fourth Proportional to 9,561.93, 14,326.70 and 5,856.42

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Solution

The fourth proportional to 9,561.93, 14,326.70 and 5,856.42 is: 8,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.93 : 14,326.70 = 5,856.42 : x
  2. Step 2: Convert to fraction form
    9,561.93/14,326.70 = 5,856.42/x
  3. Step 3: Cross multiply
    9,561.93x = 14,326.70 × 5,856.42
  4. Step 4: Simplify right side
    9,561.93x = 83,903,143.13
  5. Step 5: Solve for x
    x = 83,903,143.13/9,561.93
  6. Step 6: Final answer
    x = 8,774.71

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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.