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Finding the Fourth Proportional to 9,832.45, 14,719.71 and 6,494.58

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Solution

The fourth proportional to 9,832.45, 14,719.71 and 6,494.58 is: 9,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.45 : 14,719.71 = 6,494.58 : x
  2. Step 2: Convert to fraction form
    9,832.45/14,719.71 = 6,494.58/x
  3. Step 3: Cross multiply
    9,832.45x = 14,719.71 × 6,494.58
  4. Step 4: Simplify right side
    9,832.45x = 95,598,334.17
  5. Step 5: Solve for x
    x = 95,598,334.17/9,832.45
  6. Step 6: Final answer
    x = 9,722.74

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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.