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Finding the Fourth Proportional to 9,646.76, 14,471.17 and 3,071.41

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Solution

The fourth proportional to 9,646.76, 14,471.17 and 3,071.41 is: 4,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.76 : 14,471.17 = 3,071.41 : x
  2. Step 2: Convert to fraction form
    9,646.76/14,471.17 = 3,071.41/x
  3. Step 3: Cross multiply
    9,646.76x = 14,471.17 × 3,071.41
  4. Step 4: Simplify right side
    9,646.76x = 44,446,823.89
  5. Step 5: Solve for x
    x = 44,446,823.89/9,646.76
  6. Step 6: Final answer
    x = 4,607.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.