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Finding the Fourth Proportional to 9,412.83, 12,988.62 and 5,635.47

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Solution

The fourth proportional to 9,412.83, 12,988.62 and 5,635.47 is: 7,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.83 : 12,988.62 = 5,635.47 : x
  2. Step 2: Convert to fraction form
    9,412.83/12,988.62 = 5,635.47/x
  3. Step 3: Cross multiply
    9,412.83x = 12,988.62 × 5,635.47
  4. Step 4: Simplify right side
    9,412.83x = 73,197,003.28
  5. Step 5: Solve for x
    x = 73,197,003.28/9,412.83
  6. Step 6: Final answer
    x = 7,776.30

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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.