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Finding the Fourth Proportional to 9,722.58, 14,581.71 and 2,795.46

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Solution

The fourth proportional to 9,722.58, 14,581.71 and 2,795.46 is: 4,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.58 : 14,581.71 = 2,795.46 : x
  2. Step 2: Convert to fraction form
    9,722.58/14,581.71 = 2,795.46/x
  3. Step 3: Cross multiply
    9,722.58x = 14,581.71 × 2,795.46
  4. Step 4: Simplify right side
    9,722.58x = 40,762,587.04
  5. Step 5: Solve for x
    x = 40,762,587.04/9,722.58
  6. Step 6: Final answer
    x = 4,192.57

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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.