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Finding the Fourth Proportional to 6,590.74, 9,094.43 and 3,937.63

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Solution

The fourth proportional to 6,590.74, 9,094.43 and 3,937.63 is: 5,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.74 : 9,094.43 = 3,937.63 : x
  2. Step 2: Convert to fraction form
    6,590.74/9,094.43 = 3,937.63/x
  3. Step 3: Cross multiply
    6,590.74x = 9,094.43 × 3,937.63
  4. Step 4: Simplify right side
    6,590.74x = 35,810,480.71
  5. Step 5: Solve for x
    x = 35,810,480.71/6,590.74
  6. Step 6: Final answer
    x = 5,433.45

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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.