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Finding the Fourth Proportional to 9,096.64, 12,553.29 and 5,117.65

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Solution

The fourth proportional to 9,096.64, 12,553.29 and 5,117.65 is: 7,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.64 : 12,553.29 = 5,117.65 : x
  2. Step 2: Convert to fraction form
    9,096.64/12,553.29 = 5,117.65/x
  3. Step 3: Cross multiply
    9,096.64x = 12,553.29 × 5,117.65
  4. Step 4: Simplify right side
    9,096.64x = 64,243,313.19
  5. Step 5: Solve for x
    x = 64,243,313.19/9,096.64
  6. Step 6: Final answer
    x = 7,062.31

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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.