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Finding the Fourth Proportional to 9,737.69, 14,603.22 and 3,162.24

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Solution

The fourth proportional to 9,737.69, 14,603.22 and 3,162.24 is: 4,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.69 : 14,603.22 = 3,162.24 : x
  2. Step 2: Convert to fraction form
    9,737.69/14,603.22 = 3,162.24/x
  3. Step 3: Cross multiply
    9,737.69x = 14,603.22 × 3,162.24
  4. Step 4: Simplify right side
    9,737.69x = 46,178,886.41
  5. Step 5: Solve for x
    x = 46,178,886.41/9,737.69
  6. Step 6: Final answer
    x = 4,742.29

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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.