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Finding the Fourth Proportional to 9,722.86, 14,584.50 and 3,483.28

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Solution

The fourth proportional to 9,722.86, 14,584.50 and 3,483.28 is: 5,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.86 : 14,584.50 = 3,483.28 : x
  2. Step 2: Convert to fraction form
    9,722.86/14,584.50 = 3,483.28/x
  3. Step 3: Cross multiply
    9,722.86x = 14,584.50 × 3,483.28
  4. Step 4: Simplify right side
    9,722.86x = 50,801,897.16
  5. Step 5: Solve for x
    x = 50,801,897.16/9,722.86
  6. Step 6: Final answer
    x = 5,225.00

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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.