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Finding the Fourth Proportional to 9,473.67, 14,206.19 and 4,545.63

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Solution

The fourth proportional to 9,473.67, 14,206.19 and 4,545.63 is: 6,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.67 : 14,206.19 = 4,545.63 : x
  2. Step 2: Convert to fraction form
    9,473.67/14,206.19 = 4,545.63/x
  3. Step 3: Cross multiply
    9,473.67x = 14,206.19 × 4,545.63
  4. Step 4: Simplify right side
    9,473.67x = 64,576,113.28
  5. Step 5: Solve for x
    x = 64,576,113.28/9,473.67
  6. Step 6: Final answer
    x = 6,816.38

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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.