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Finding the Fourth Proportional to 9,590.48, 13,229.16 and 5,858

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Solution

The fourth proportional to 9,590.48, 13,229.16 and 5,858 is: 8,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.48 : 13,229.16 = 5,858 : x
  2. Step 2: Convert to fraction form
    9,590.48/13,229.16 = 5,858/x
  3. Step 3: Cross multiply
    9,590.48x = 13,229.16 × 5,858
  4. Step 4: Simplify right side
    9,590.48x = 77,496,419.28
  5. Step 5: Solve for x
    x = 77,496,419.28/9,590.48
  6. Step 6: Final answer
    x = 8,080.56

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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.