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Finding the Fourth Proportional to 9,582.75, 13,224.09 and 6,715.50

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Solution

The fourth proportional to 9,582.75, 13,224.09 and 6,715.50 is: 9,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.75 : 13,224.09 = 6,715.50 : x
  2. Step 2: Convert to fraction form
    9,582.75/13,224.09 = 6,715.50/x
  3. Step 3: Cross multiply
    9,582.75x = 13,224.09 × 6,715.50
  4. Step 4: Simplify right side
    9,582.75x = 88,806,376.40
  5. Step 5: Solve for x
    x = 88,806,376.40/9,582.75
  6. Step 6: Final answer
    x = 9,267.32

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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.