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Finding the Fourth Proportional to 9,582.36, 14,363.80 and 7,269

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Solution

The fourth proportional to 9,582.36, 14,363.80 and 7,269 is: 10,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.36 : 14,363.80 = 7,269 : x
  2. Step 2: Convert to fraction form
    9,582.36/14,363.80 = 7,269/x
  3. Step 3: Cross multiply
    9,582.36x = 14,363.80 × 7,269
  4. Step 4: Simplify right side
    9,582.36x = 104,410,462.20
  5. Step 5: Solve for x
    x = 104,410,462.20/9,582.36
  6. Step 6: Final answer
    x = 10,896.11

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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.