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Finding the Fourth Proportional to 9,096.48, 12,553.04 and 5,117.60

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Solution

The fourth proportional to 9,096.48, 12,553.04 and 5,117.60 is: 7,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.48 : 12,553.04 = 5,117.60 : x
  2. Step 2: Convert to fraction form
    9,096.48/12,553.04 = 5,117.60/x
  3. Step 3: Cross multiply
    9,096.48x = 12,553.04 × 5,117.60
  4. Step 4: Simplify right side
    9,096.48x = 64,241,437.50
  5. Step 5: Solve for x
    x = 64,241,437.50/9,096.48
  6. Step 6: Final answer
    x = 7,062.23

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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.