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Finding the Fourth Proportional to 9,590.52, 13,235.46 and 6,398.30

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Solution

The fourth proportional to 9,590.52, 13,235.46 and 6,398.30 is: 8,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.52 : 13,235.46 = 6,398.30 : x
  2. Step 2: Convert to fraction form
    9,590.52/13,235.46 = 6,398.30/x
  3. Step 3: Cross multiply
    9,590.52x = 13,235.46 × 6,398.30
  4. Step 4: Simplify right side
    9,590.52x = 84,684,443.72
  5. Step 5: Solve for x
    x = 84,684,443.72/9,590.52
  6. Step 6: Final answer
    x = 8,830.02

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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.