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Finding the Fourth Proportional to 6,346.62, 9,510.72 and 4,370.22

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Solution

The fourth proportional to 6,346.62, 9,510.72 and 4,370.22 is: 6,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.62 : 9,510.72 = 4,370.22 : x
  2. Step 2: Convert to fraction form
    6,346.62/9,510.72 = 4,370.22/x
  3. Step 3: Cross multiply
    6,346.62x = 9,510.72 × 4,370.22
  4. Step 4: Simplify right side
    6,346.62x = 41,563,938.76
  5. Step 5: Solve for x
    x = 41,563,938.76/6,346.62
  6. Step 6: Final answer
    x = 6,548.99

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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.