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Finding the Fourth Proportional to 6,446.61, 9,668.39 and 4,712.06

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Solution

The fourth proportional to 6,446.61, 9,668.39 and 4,712.06 is: 7,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.61 : 9,668.39 = 4,712.06 : x
  2. Step 2: Convert to fraction form
    6,446.61/9,668.39 = 4,712.06/x
  3. Step 3: Cross multiply
    6,446.61x = 9,668.39 × 4,712.06
  4. Step 4: Simplify right side
    6,446.61x = 45,558,034.39
  5. Step 5: Solve for x
    x = 45,558,034.39/6,446.61
  6. Step 6: Final answer
    x = 7,066.98

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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.