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Finding the Fourth Proportional to 9,291.66, 14,001.42 and 7,684.35

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Solution

The fourth proportional to 9,291.66, 14,001.42 and 7,684.35 is: 11,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.66 : 14,001.42 = 7,684.35 : x
  2. Step 2: Convert to fraction form
    9,291.66/14,001.42 = 7,684.35/x
  3. Step 3: Cross multiply
    9,291.66x = 14,001.42 × 7,684.35
  4. Step 4: Simplify right side
    9,291.66x = 107,591,811.78
  5. Step 5: Solve for x
    x = 107,591,811.78/9,291.66
  6. Step 6: Final answer
    x = 11,579.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.