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Finding the Fourth Proportional to 9,722.40, 14,585.48 and 6,733.06

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Solution

The fourth proportional to 9,722.40, 14,585.48 and 6,733.06 is: 10,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.40 : 14,585.48 = 6,733.06 : x
  2. Step 2: Convert to fraction form
    9,722.40/14,585.48 = 6,733.06/x
  3. Step 3: Cross multiply
    9,722.40x = 14,585.48 × 6,733.06
  4. Step 4: Simplify right side
    9,722.40x = 98,204,911.97
  5. Step 5: Solve for x
    x = 98,204,911.97/9,722.40
  6. Step 6: Final answer
    x = 10,100.89

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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.