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Finding the Fourth Proportional to 9,482.39, 13,083.69 and 5,502.99

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Solution

The fourth proportional to 9,482.39, 13,083.69 and 5,502.99 is: 7,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.39 : 13,083.69 = 5,502.99 : x
  2. Step 2: Convert to fraction form
    9,482.39/13,083.69 = 5,502.99/x
  3. Step 3: Cross multiply
    9,482.39x = 13,083.69 × 5,502.99
  4. Step 4: Simplify right side
    9,482.39x = 71,999,415.23
  5. Step 5: Solve for x
    x = 71,999,415.23/9,482.39
  6. Step 6: Final answer
    x = 7,592.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.