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Finding the Fourth Proportional to 9,566.37, 14,332.59 and 8,165.66

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Solution

The fourth proportional to 9,566.37, 14,332.59 and 8,165.66 is: 12,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.37 : 14,332.59 = 8,165.66 : x
  2. Step 2: Convert to fraction form
    9,566.37/14,332.59 = 8,165.66/x
  3. Step 3: Cross multiply
    9,566.37x = 14,332.59 × 8,165.66
  4. Step 4: Simplify right side
    9,566.37x = 117,034,985.20
  5. Step 5: Solve for x
    x = 117,034,985.20/9,566.37
  6. Step 6: Final answer
    x = 12,234.00

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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.