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Finding the Fourth Proportional to 9,289.50, 12,821.13 and 5,563.50

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Solution

The fourth proportional to 9,289.50, 12,821.13 and 5,563.50 is: 7,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.50 : 12,821.13 = 5,563.50 : x
  2. Step 2: Convert to fraction form
    9,289.50/12,821.13 = 5,563.50/x
  3. Step 3: Cross multiply
    9,289.50x = 12,821.13 × 5,563.50
  4. Step 4: Simplify right side
    9,289.50x = 71,330,356.76
  5. Step 5: Solve for x
    x = 71,330,356.76/9,289.50
  6. Step 6: Final answer
    x = 7,678.60

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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.