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Finding the Fourth Proportional to 9,674.10, 13,349.88 and 5,482.26

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Solution

The fourth proportional to 9,674.10, 13,349.88 and 5,482.26 is: 7,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.10 : 13,349.88 = 5,482.26 : x
  2. Step 2: Convert to fraction form
    9,674.10/13,349.88 = 5,482.26/x
  3. Step 3: Cross multiply
    9,674.10x = 13,349.88 × 5,482.26
  4. Step 4: Simplify right side
    9,674.10x = 73,187,513.13
  5. Step 5: Solve for x
    x = 73,187,513.13/9,674.10
  6. Step 6: Final answer
    x = 7,565.30

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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.