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Finding the Fourth Proportional to 9,564.30, 14,346.88 and 2,990.62

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Solution

The fourth proportional to 9,564.30, 14,346.88 and 2,990.62 is: 4,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.30 : 14,346.88 = 2,990.62 : x
  2. Step 2: Convert to fraction form
    9,564.30/14,346.88 = 2,990.62/x
  3. Step 3: Cross multiply
    9,564.30x = 14,346.88 × 2,990.62
  4. Step 4: Simplify right side
    9,564.30x = 42,906,066.27
  5. Step 5: Solve for x
    x = 42,906,066.27/9,564.30
  6. Step 6: Final answer
    x = 4,486.06

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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.