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Finding the Fourth Proportional to 9,130.27, 12,598.49 and 5,096.17

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Solution

The fourth proportional to 9,130.27, 12,598.49 and 5,096.17 is: 7,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.27 : 12,598.49 = 5,096.17 : x
  2. Step 2: Convert to fraction form
    9,130.27/12,598.49 = 5,096.17/x
  3. Step 3: Cross multiply
    9,130.27x = 12,598.49 × 5,096.17
  4. Step 4: Simplify right side
    9,130.27x = 64,203,975.74
  5. Step 5: Solve for x
    x = 64,203,975.74/9,130.27
  6. Step 6: Final answer
    x = 7,031.99

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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.