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Finding the Fourth Proportional to 9,645.56, 14,468.34 and 3,071.75

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Solution

The fourth proportional to 9,645.56, 14,468.34 and 3,071.75 is: 4,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.56 : 14,468.34 = 3,071.75 : x
  2. Step 2: Convert to fraction form
    9,645.56/14,468.34 = 3,071.75/x
  3. Step 3: Cross multiply
    9,645.56x = 14,468.34 × 3,071.75
  4. Step 4: Simplify right side
    9,645.56x = 44,443,123.40
  5. Step 5: Solve for x
    x = 44,443,123.40/9,645.56
  6. Step 6: Final answer
    x = 4,607.63

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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.