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Finding the Fourth Proportional to 10,632.86, 15,952.14 and 9,470.82

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Solution

The fourth proportional to 10,632.86, 15,952.14 and 9,470.82 is: 14,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.86 : 15,952.14 = 9,470.82 : x
  2. Step 2: Convert to fraction form
    10,632.86/15,952.14 = 9,470.82/x
  3. Step 3: Cross multiply
    10,632.86x = 15,952.14 × 9,470.82
  4. Step 4: Simplify right side
    10,632.86x = 151,079,846.55
  5. Step 5: Solve for x
    x = 151,079,846.55/10,632.86
  6. Step 6: Final answer
    x = 14,208.77

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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.