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Finding the Fourth Proportional to 9,822.84, 13,555.68 and 5,346.80

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Solution

The fourth proportional to 9,822.84, 13,555.68 and 5,346.80 is: 7,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.84 : 13,555.68 = 5,346.80 : x
  2. Step 2: Convert to fraction form
    9,822.84/13,555.68 = 5,346.80/x
  3. Step 3: Cross multiply
    9,822.84x = 13,555.68 × 5,346.80
  4. Step 4: Simplify right side
    9,822.84x = 72,479,509.82
  5. Step 5: Solve for x
    x = 72,479,509.82/9,822.84
  6. Step 6: Final answer
    x = 7,378.67

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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.