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Finding the Fourth Proportional to 6,460.35, 9,666.32 and 3,818.13

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Solution

The fourth proportional to 6,460.35, 9,666.32 and 3,818.13 is: 5,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.35 : 9,666.32 = 3,818.13 : x
  2. Step 2: Convert to fraction form
    6,460.35/9,666.32 = 3,818.13/x
  3. Step 3: Cross multiply
    6,460.35x = 9,666.32 × 3,818.13
  4. Step 4: Simplify right side
    6,460.35x = 36,907,266.38
  5. Step 5: Solve for x
    x = 36,907,266.38/6,460.35
  6. Step 6: Final answer
    x = 5,712.89

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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.