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Finding the Fourth Proportional to 9,113.70, 12,577.50 and 5,134.44

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Solution

The fourth proportional to 9,113.70, 12,577.50 and 5,134.44 is: 7,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.70 : 12,577.50 = 5,134.44 : x
  2. Step 2: Convert to fraction form
    9,113.70/12,577.50 = 5,134.44/x
  3. Step 3: Cross multiply
    9,113.70x = 12,577.50 × 5,134.44
  4. Step 4: Simplify right side
    9,113.70x = 64,578,419.10
  5. Step 5: Solve for x
    x = 64,578,419.10/9,113.70
  6. Step 6: Final answer
    x = 7,085.86

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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.