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Finding the Fourth Proportional to 9,646.17, 14,471.01 and 3,071.67

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Solution

The fourth proportional to 9,646.17, 14,471.01 and 3,071.67 is: 4,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.17 : 14,471.01 = 3,071.67 : x
  2. Step 2: Convert to fraction form
    9,646.17/14,471.01 = 3,071.67/x
  3. Step 3: Cross multiply
    9,646.17x = 14,471.01 × 3,071.67
  4. Step 4: Simplify right side
    9,646.17x = 44,450,167.29
  5. Step 5: Solve for x
    x = 44,450,167.29/9,646.17
  6. Step 6: Final answer
    x = 4,608.06

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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.