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Finding the Fourth Proportional to 6,590.62, 9,097.36 and 4,074.66

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Solution

The fourth proportional to 6,590.62, 9,097.36 and 4,074.66 is: 5,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.62 : 9,097.36 = 4,074.66 : x
  2. Step 2: Convert to fraction form
    6,590.62/9,097.36 = 4,074.66/x
  3. Step 3: Cross multiply
    6,590.62x = 9,097.36 × 4,074.66
  4. Step 4: Simplify right side
    6,590.62x = 37,068,648.90
  5. Step 5: Solve for x
    x = 37,068,648.90/6,590.62
  6. Step 6: Final answer
    x = 5,624.46

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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.