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Finding the Fourth Proportional to 9,666.34, 14,498.07 and 3,091.84

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Solution

The fourth proportional to 9,666.34, 14,498.07 and 3,091.84 is: 4,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.34 : 14,498.07 = 3,091.84 : x
  2. Step 2: Convert to fraction form
    9,666.34/14,498.07 = 3,091.84/x
  3. Step 3: Cross multiply
    9,666.34x = 14,498.07 × 3,091.84
  4. Step 4: Simplify right side
    9,666.34x = 44,825,712.75
  5. Step 5: Solve for x
    x = 44,825,712.75/9,666.34
  6. Step 6: Final answer
    x = 4,637.30

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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.