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Finding the Fourth Proportional to 9,645.44, 14,468.01 and 3,071.57

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Solution

The fourth proportional to 9,645.44, 14,468.01 and 3,071.57 is: 4,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.44 : 14,468.01 = 3,071.57 : x
  2. Step 2: Convert to fraction form
    9,645.44/14,468.01 = 3,071.57/x
  3. Step 3: Cross multiply
    9,645.44x = 14,468.01 × 3,071.57
  4. Step 4: Simplify right side
    9,645.44x = 44,439,505.48
  5. Step 5: Solve for x
    x = 44,439,505.48/9,645.44
  6. Step 6: Final answer
    x = 4,607.31

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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.