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Finding the Fourth Proportional to 9,438.74, 14,169.05 and 5,064.74

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Solution

The fourth proportional to 9,438.74, 14,169.05 and 5,064.74 is: 7,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.74 : 14,169.05 = 5,064.74 : x
  2. Step 2: Convert to fraction form
    9,438.74/14,169.05 = 5,064.74/x
  3. Step 3: Cross multiply
    9,438.74x = 14,169.05 × 5,064.74
  4. Step 4: Simplify right side
    9,438.74x = 71,762,602.38
  5. Step 5: Solve for x
    x = 71,762,602.38/9,438.74
  6. Step 6: Final answer
    x = 7,602.98

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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.