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Finding the Fourth Proportional to 9,112.34, 12,575.97 and 5,577.90

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Solution

The fourth proportional to 9,112.34, 12,575.97 and 5,577.90 is: 7,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.34 : 12,575.97 = 5,577.90 : x
  2. Step 2: Convert to fraction form
    9,112.34/12,575.97 = 5,577.90/x
  3. Step 3: Cross multiply
    9,112.34x = 12,575.97 × 5,577.90
  4. Step 4: Simplify right side
    9,112.34x = 70,147,503.06
  5. Step 5: Solve for x
    x = 70,147,503.06/9,112.34
  6. Step 6: Final answer
    x = 7,698.08

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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.