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Finding the Fourth Proportional to 9,484.08, 14,206.65 and 7,625.16

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Solution

The fourth proportional to 9,484.08, 14,206.65 and 7,625.16 is: 11,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.08 : 14,206.65 = 7,625.16 : x
  2. Step 2: Convert to fraction form
    9,484.08/14,206.65 = 7,625.16/x
  3. Step 3: Cross multiply
    9,484.08x = 14,206.65 × 7,625.16
  4. Step 4: Simplify right side
    9,484.08x = 108,327,979.31
  5. Step 5: Solve for x
    x = 108,327,979.31/9,484.08
  6. Step 6: Final answer
    x = 11,422.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.