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Finding the Fourth Proportional to 8,437.16, 11,643.90 and 6,209.24

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Solution

The fourth proportional to 8,437.16, 11,643.90 and 6,209.24 is: 8,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.16 : 11,643.90 = 6,209.24 : x
  2. Step 2: Convert to fraction form
    8,437.16/11,643.90 = 6,209.24/x
  3. Step 3: Cross multiply
    8,437.16x = 11,643.90 × 6,209.24
  4. Step 4: Simplify right side
    8,437.16x = 72,299,769.64
  5. Step 5: Solve for x
    x = 72,299,769.64/8,437.16
  6. Step 6: Final answer
    x = 8,569.21

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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.