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Finding the Fourth Proportional to 9,442.91, 14,164.44 and 2,869.10

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Solution

The fourth proportional to 9,442.91, 14,164.44 and 2,869.10 is: 4,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.91 : 14,164.44 = 2,869.10 : x
  2. Step 2: Convert to fraction form
    9,442.91/14,164.44 = 2,869.10/x
  3. Step 3: Cross multiply
    9,442.91x = 14,164.44 × 2,869.10
  4. Step 4: Simplify right side
    9,442.91x = 40,639,123.98
  5. Step 5: Solve for x
    x = 40,639,123.98/9,442.91
  6. Step 6: Final answer
    x = 4,303.67

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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.