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Finding the Fourth Proportional to 6,190.47, 9,270.56 and 5,590.76

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Solution

The fourth proportional to 6,190.47, 9,270.56 and 5,590.76 is: 8,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.47 : 9,270.56 = 5,590.76 : x
  2. Step 2: Convert to fraction form
    6,190.47/9,270.56 = 5,590.76/x
  3. Step 3: Cross multiply
    6,190.47x = 9,270.56 × 5,590.76
  4. Step 4: Simplify right side
    6,190.47x = 51,829,401.72
  5. Step 5: Solve for x
    x = 51,829,401.72/6,190.47
  6. Step 6: Final answer
    x = 8,372.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.