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Finding the Fourth Proportional to 9,400.72, 14,090.88 and 6,116.16

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Solution

The fourth proportional to 9,400.72, 14,090.88 and 6,116.16 is: 9,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.72 : 14,090.88 = 6,116.16 : x
  2. Step 2: Convert to fraction form
    9,400.72/14,090.88 = 6,116.16/x
  3. Step 3: Cross multiply
    9,400.72x = 14,090.88 × 6,116.16
  4. Step 4: Simplify right side
    9,400.72x = 86,182,076.62
  5. Step 5: Solve for x
    x = 86,182,076.62/9,400.72
  6. Step 6: Final answer
    x = 9,167.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.