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Finding the Fourth Proportional to 9,476.12, 13,073.40 and 5,496.46

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Solution

The fourth proportional to 9,476.12, 13,073.40 and 5,496.46 is: 7,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.12 : 13,073.40 = 5,496.46 : x
  2. Step 2: Convert to fraction form
    9,476.12/13,073.40 = 5,496.46/x
  3. Step 3: Cross multiply
    9,476.12x = 13,073.40 × 5,496.46
  4. Step 4: Simplify right side
    9,476.12x = 71,857,387.48
  5. Step 5: Solve for x
    x = 71,857,387.48/9,476.12
  6. Step 6: Final answer
    x = 7,582.99

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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.