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Finding the Fourth Proportional to 9,673.78, 13,349.46 and 5,482.84

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Solution

The fourth proportional to 9,673.78, 13,349.46 and 5,482.84 is: 7,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.78 : 13,349.46 = 5,482.84 : x
  2. Step 2: Convert to fraction form
    9,673.78/13,349.46 = 5,482.84/x
  3. Step 3: Cross multiply
    9,673.78x = 13,349.46 × 5,482.84
  4. Step 4: Simplify right side
    9,673.78x = 73,192,953.27
  5. Step 5: Solve for x
    x = 73,192,953.27/9,673.78
  6. Step 6: Final answer
    x = 7,566.12

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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.