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Finding the Fourth Proportional to 9,345.16, 12,896.16 and 5,096.26

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Solution

The fourth proportional to 9,345.16, 12,896.16 and 5,096.26 is: 7,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.16 : 12,896.16 = 5,096.26 : x
  2. Step 2: Convert to fraction form
    9,345.16/12,896.16 = 5,096.26/x
  3. Step 3: Cross multiply
    9,345.16x = 12,896.16 × 5,096.26
  4. Step 4: Simplify right side
    9,345.16x = 65,722,119.88
  5. Step 5: Solve for x
    x = 65,722,119.88/9,345.16
  6. Step 6: Final answer
    x = 7,032.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.