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Finding the Fourth Proportional to 6,549.16, 9,820.02 and 4,471.67

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Solution

The fourth proportional to 6,549.16, 9,820.02 and 4,471.67 is: 6,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.16 : 9,820.02 = 4,471.67 : x
  2. Step 2: Convert to fraction form
    6,549.16/9,820.02 = 4,471.67/x
  3. Step 3: Cross multiply
    6,549.16x = 9,820.02 × 4,471.67
  4. Step 4: Simplify right side
    6,549.16x = 43,911,888.83
  5. Step 5: Solve for x
    x = 43,911,888.83/6,549.16
  6. Step 6: Final answer
    x = 6,704.97

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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.