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Finding the Fourth Proportional to 9,823.39, 13,555.78 and 5,346.99

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Solution

The fourth proportional to 9,823.39, 13,555.78 and 5,346.99 is: 7,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.39 : 13,555.78 = 5,346.99 : x
  2. Step 2: Convert to fraction form
    9,823.39/13,555.78 = 5,346.99/x
  3. Step 3: Cross multiply
    9,823.39x = 13,555.78 × 5,346.99
  4. Step 4: Simplify right side
    9,823.39x = 72,482,620.10
  5. Step 5: Solve for x
    x = 72,482,620.10/9,823.39
  6. Step 6: Final answer
    x = 7,378.58

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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.