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Finding the Fourth Proportional to 10,766.03, 14,864.36 and 9,628.16

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Solution

The fourth proportional to 10,766.03, 14,864.36 and 9,628.16 is: 13,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.03 : 14,864.36 = 9,628.16 : x
  2. Step 2: Convert to fraction form
    10,766.03/14,864.36 = 9,628.16/x
  3. Step 3: Cross multiply
    10,766.03x = 14,864.36 × 9,628.16
  4. Step 4: Simplify right side
    10,766.03x = 143,116,313.92
  5. Step 5: Solve for x
    x = 143,116,313.92/10,766.03
  6. Step 6: Final answer
    x = 13,293.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.