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Finding the Fourth Proportional to 9,412.58, 12,988.08 and 5,634.88

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Solution

The fourth proportional to 9,412.58, 12,988.08 and 5,634.88 is: 7,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.58 : 12,988.08 = 5,634.88 : x
  2. Step 2: Convert to fraction form
    9,412.58/12,988.08 = 5,634.88/x
  3. Step 3: Cross multiply
    9,412.58x = 12,988.08 × 5,634.88
  4. Step 4: Simplify right side
    9,412.58x = 73,186,239.76
  5. Step 5: Solve for x
    x = 73,186,239.76/9,412.58
  6. Step 6: Final answer
    x = 7,775.36

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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.