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Finding the Fourth Proportional to 9,096.64, 12,554.38 and 5,117.64

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Solution

The fourth proportional to 9,096.64, 12,554.38 and 5,117.64 is: 7,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.64 : 12,554.38 = 5,117.64 : x
  2. Step 2: Convert to fraction form
    9,096.64/12,554.38 = 5,117.64/x
  3. Step 3: Cross multiply
    9,096.64x = 12,554.38 × 5,117.64
  4. Step 4: Simplify right side
    9,096.64x = 64,248,797.26
  5. Step 5: Solve for x
    x = 64,248,797.26/9,096.64
  6. Step 6: Final answer
    x = 7,062.92

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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.