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Finding the Fourth Proportional to 9,664.30, 14,496.45 and 5,776.30

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Solution

The fourth proportional to 9,664.30, 14,496.45 and 5,776.30 is: 8,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.30 : 14,496.45 = 5,776.30 : x
  2. Step 2: Convert to fraction form
    9,664.30/14,496.45 = 5,776.30/x
  3. Step 3: Cross multiply
    9,664.30x = 14,496.45 × 5,776.30
  4. Step 4: Simplify right side
    9,664.30x = 83,735,844.14
  5. Step 5: Solve for x
    x = 83,735,844.14/9,664.30
  6. Step 6: Final answer
    x = 8,664.45

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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.