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Finding the Fourth Proportional to 9,421.62, 14,137.89 and 5,041.54

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Solution

The fourth proportional to 9,421.62, 14,137.89 and 5,041.54 is: 7,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.62 : 14,137.89 = 5,041.54 : x
  2. Step 2: Convert to fraction form
    9,421.62/14,137.89 = 5,041.54/x
  3. Step 3: Cross multiply
    9,421.62x = 14,137.89 × 5,041.54
  4. Step 4: Simplify right side
    9,421.62x = 71,276,737.95
  5. Step 5: Solve for x
    x = 71,276,737.95/9,421.62
  6. Step 6: Final answer
    x = 7,565.23

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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.