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Finding the Fourth Proportional to 9,476.64, 13,073.94 and 6,291.48

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Solution

The fourth proportional to 9,476.64, 13,073.94 and 6,291.48 is: 8,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.64 : 13,073.94 = 6,291.48 : x
  2. Step 2: Convert to fraction form
    9,476.64/13,073.94 = 6,291.48/x
  3. Step 3: Cross multiply
    9,476.64x = 13,073.94 × 6,291.48
  4. Step 4: Simplify right side
    9,476.64x = 82,254,432.03
  5. Step 5: Solve for x
    x = 82,254,432.03/9,476.64
  6. Step 6: Final answer
    x = 8,679.70

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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.