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Finding the Fourth Proportional to 6,330.14, 9,486.87 and 4,581.01

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Solution

The fourth proportional to 6,330.14, 9,486.87 and 4,581.01 is: 6,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.14 : 9,486.87 = 4,581.01 : x
  2. Step 2: Convert to fraction form
    6,330.14/9,486.87 = 4,581.01/x
  3. Step 3: Cross multiply
    6,330.14x = 9,486.87 × 4,581.01
  4. Step 4: Simplify right side
    6,330.14x = 43,459,446.34
  5. Step 5: Solve for x
    x = 43,459,446.34/6,330.14
  6. Step 6: Final answer
    x = 6,865.48

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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.