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Finding the Fourth Proportional to 9,113.81, 12,577.14 and 5,134.14

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Solution

The fourth proportional to 9,113.81, 12,577.14 and 5,134.14 is: 7,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.81 : 12,577.14 = 5,134.14 : x
  2. Step 2: Convert to fraction form
    9,113.81/12,577.14 = 5,134.14/x
  3. Step 3: Cross multiply
    9,113.81x = 12,577.14 × 5,134.14
  4. Step 4: Simplify right side
    9,113.81x = 64,572,797.56
  5. Step 5: Solve for x
    x = 64,572,797.56/9,113.81
  6. Step 6: Final answer
    x = 7,085.16

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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.