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Finding the Fourth Proportional to 9,482.30, 14,151.35 and 8,431.38

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Solution

The fourth proportional to 9,482.30, 14,151.35 and 8,431.38 is: 12,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.30 : 14,151.35 = 8,431.38 : x
  2. Step 2: Convert to fraction form
    9,482.30/14,151.35 = 8,431.38/x
  3. Step 3: Cross multiply
    9,482.30x = 14,151.35 × 8,431.38
  4. Step 4: Simplify right side
    9,482.30x = 119,315,367.21
  5. Step 5: Solve for x
    x = 119,315,367.21/9,482.30
  6. Step 6: Final answer
    x = 12,582.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.