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Finding the Fourth Proportional to 9,590.18, 13,234.20 and 9,307.23

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Solution

The fourth proportional to 9,590.18, 13,234.20 and 9,307.23 is: 12,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.18 : 13,234.20 = 9,307.23 : x
  2. Step 2: Convert to fraction form
    9,590.18/13,234.20 = 9,307.23/x
  3. Step 3: Cross multiply
    9,590.18x = 13,234.20 × 9,307.23
  4. Step 4: Simplify right side
    9,590.18x = 123,173,743.27
  5. Step 5: Solve for x
    x = 123,173,743.27/9,590.18
  6. Step 6: Final answer
    x = 12,843.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.