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Finding the Fourth Proportional to 9,154.08, 12,643.01 and 6,164.72

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Solution

The fourth proportional to 9,154.08, 12,643.01 and 6,164.72 is: 8,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.08 : 12,643.01 = 6,164.72 : x
  2. Step 2: Convert to fraction form
    9,154.08/12,643.01 = 6,164.72/x
  3. Step 3: Cross multiply
    9,154.08x = 12,643.01 × 6,164.72
  4. Step 4: Simplify right side
    9,154.08x = 77,940,616.61
  5. Step 5: Solve for x
    x = 77,940,616.61/9,154.08
  6. Step 6: Final answer
    x = 8,514.30

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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.