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Finding the Fourth Proportional to 9,523.98, 14,280.91 and 5,582.93

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Solution

The fourth proportional to 9,523.98, 14,280.91 and 5,582.93 is: 8,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.98 : 14,280.91 = 5,582.93 : x
  2. Step 2: Convert to fraction form
    9,523.98/14,280.91 = 5,582.93/x
  3. Step 3: Cross multiply
    9,523.98x = 14,280.91 × 5,582.93
  4. Step 4: Simplify right side
    9,523.98x = 79,729,235.50
  5. Step 5: Solve for x
    x = 79,729,235.50/9,523.98
  6. Step 6: Final answer
    x = 8,371.42

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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.