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Finding the Fourth Proportional to 9,564.02, 14,346.04 and 2,990.22

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Solution

The fourth proportional to 9,564.02, 14,346.04 and 2,990.22 is: 4,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.02 : 14,346.04 = 2,990.22 : x
  2. Step 2: Convert to fraction form
    9,564.02/14,346.04 = 2,990.22/x
  3. Step 3: Cross multiply
    9,564.02x = 14,346.04 × 2,990.22
  4. Step 4: Simplify right side
    9,564.02x = 42,897,815.73
  5. Step 5: Solve for x
    x = 42,897,815.73/9,564.02
  6. Step 6: Final answer
    x = 4,485.33

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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.