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Finding the Fourth Proportional to 9,476.86, 13,076.58 and 5,497.15

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Solution

The fourth proportional to 9,476.86, 13,076.58 and 5,497.15 is: 7,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.86 : 13,076.58 = 5,497.15 : x
  2. Step 2: Convert to fraction form
    9,476.86/13,076.58 = 5,497.15/x
  3. Step 3: Cross multiply
    9,476.86x = 13,076.58 × 5,497.15
  4. Step 4: Simplify right side
    9,476.86x = 71,883,921.75
  5. Step 5: Solve for x
    x = 71,883,921.75/9,476.86
  6. Step 6: Final answer
    x = 7,585.20

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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.