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Finding the Fourth Proportional to 9,552.86, 14,326.50 and 4,006.04

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Solution

The fourth proportional to 9,552.86, 14,326.50 and 4,006.04 is: 6,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.86 : 14,326.50 = 4,006.04 : x
  2. Step 2: Convert to fraction form
    9,552.86/14,326.50 = 4,006.04/x
  3. Step 3: Cross multiply
    9,552.86x = 14,326.50 × 4,006.04
  4. Step 4: Simplify right side
    9,552.86x = 57,392,532.06
  5. Step 5: Solve for x
    x = 57,392,532.06/9,552.86
  6. Step 6: Final answer
    x = 6,007.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.