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Finding the Fourth Proportional to 9,566.15, 14,327.33 and 9,405.77

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Solution

The fourth proportional to 9,566.15, 14,327.33 and 9,405.77 is: 14,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.15 : 14,327.33 = 9,405.77 : x
  2. Step 2: Convert to fraction form
    9,566.15/14,327.33 = 9,405.77/x
  3. Step 3: Cross multiply
    9,566.15x = 14,327.33 × 9,405.77
  4. Step 4: Simplify right side
    9,566.15x = 134,759,452.03
  5. Step 5: Solve for x
    x = 134,759,452.03/9,566.15
  6. Step 6: Final answer
    x = 14,087.12

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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.