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Finding the Fourth Proportional to 9,207.48, 13,813.14 and 3,051

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Solution

The fourth proportional to 9,207.48, 13,813.14 and 3,051 is: 4,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.48 : 13,813.14 = 3,051 : x
  2. Step 2: Convert to fraction form
    9,207.48/13,813.14 = 3,051/x
  3. Step 3: Cross multiply
    9,207.48x = 13,813.14 × 3,051
  4. Step 4: Simplify right side
    9,207.48x = 42,143,890.14
  5. Step 5: Solve for x
    x = 42,143,890.14/9,207.48
  6. Step 6: Final answer
    x = 4,577.14

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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.