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Finding the Fourth Proportional to 9,674.05, 13,349.28 and 5,482.30

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Solution

The fourth proportional to 9,674.05, 13,349.28 and 5,482.30 is: 7,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.05 : 13,349.28 = 5,482.30 : x
  2. Step 2: Convert to fraction form
    9,674.05/13,349.28 = 5,482.30/x
  3. Step 3: Cross multiply
    9,674.05x = 13,349.28 × 5,482.30
  4. Step 4: Simplify right side
    9,674.05x = 73,184,757.74
  5. Step 5: Solve for x
    x = 73,184,757.74/9,674.05
  6. Step 6: Final answer
    x = 7,565.06

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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.