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Finding the Fourth Proportional to 9,113.16, 12,577.50 and 5,575.80

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Solution

The fourth proportional to 9,113.16, 12,577.50 and 5,575.80 is: 7,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.16 : 12,577.50 = 5,575.80 : x
  2. Step 2: Convert to fraction form
    9,113.16/12,577.50 = 5,575.80/x
  3. Step 3: Cross multiply
    9,113.16x = 12,577.50 × 5,575.80
  4. Step 4: Simplify right side
    9,113.16x = 70,129,624.50
  5. Step 5: Solve for x
    x = 70,129,624.50/9,113.16
  6. Step 6: Final answer
    x = 7,695.42

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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.