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Finding the Fourth Proportional to 9,545.84, 13,173.48 and 6,009.20

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Solution

The fourth proportional to 9,545.84, 13,173.48 and 6,009.20 is: 8,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.84 : 13,173.48 = 6,009.20 : x
  2. Step 2: Convert to fraction form
    9,545.84/13,173.48 = 6,009.20/x
  3. Step 3: Cross multiply
    9,545.84x = 13,173.48 × 6,009.20
  4. Step 4: Simplify right side
    9,545.84x = 79,162,076.02
  5. Step 5: Solve for x
    x = 79,162,076.02/9,545.84
  6. Step 6: Final answer
    x = 8,292.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.