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Finding the Fourth Proportional to 10,632.36, 15,951.39 and 9,470.32

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Solution

The fourth proportional to 10,632.36, 15,951.39 and 9,470.32 is: 14,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.36 : 15,951.39 = 9,470.32 : x
  2. Step 2: Convert to fraction form
    10,632.36/15,951.39 = 9,470.32/x
  3. Step 3: Cross multiply
    10,632.36x = 15,951.39 × 9,470.32
  4. Step 4: Simplify right side
    10,632.36x = 151,064,767.74
  5. Step 5: Solve for x
    x = 151,064,767.74/10,632.36
  6. Step 6: Final answer
    x = 14,208.02

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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.