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Finding the Fourth Proportional to 6,670.80, 9,206.19 and 4,019.67

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Solution

The fourth proportional to 6,670.80, 9,206.19 and 4,019.67 is: 5,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.80 : 9,206.19 = 4,019.67 : x
  2. Step 2: Convert to fraction form
    6,670.80/9,206.19 = 4,019.67/x
  3. Step 3: Cross multiply
    6,670.80x = 9,206.19 × 4,019.67
  4. Step 4: Simplify right side
    6,670.80x = 37,005,845.76
  5. Step 5: Solve for x
    x = 37,005,845.76/6,670.80
  6. Step 6: Final answer
    x = 5,547.44

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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.