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Finding the Fourth Proportional to 9,493.81, 14,228.33 and 5,106.11

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Solution

The fourth proportional to 9,493.81, 14,228.33 and 5,106.11 is: 7,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.81 : 14,228.33 = 5,106.11 : x
  2. Step 2: Convert to fraction form
    9,493.81/14,228.33 = 5,106.11/x
  3. Step 3: Cross multiply
    9,493.81x = 14,228.33 × 5,106.11
  4. Step 4: Simplify right side
    9,493.81x = 72,651,321.42
  5. Step 5: Solve for x
    x = 72,651,321.42/9,493.81
  6. Step 6: Final answer
    x = 7,652.50

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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.