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Finding the Fourth Proportional to 10,767.53, 14,866.43 and 9,629.66

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Solution

The fourth proportional to 10,767.53, 14,866.43 and 9,629.66 is: 13,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.53 : 14,866.43 = 9,629.66 : x
  2. Step 2: Convert to fraction form
    10,767.53/14,866.43 = 9,629.66/x
  3. Step 3: Cross multiply
    10,767.53x = 14,866.43 × 9,629.66
  4. Step 4: Simplify right side
    10,767.53x = 143,158,666.31
  5. Step 5: Solve for x
    x = 143,158,666.31/10,767.53
  6. Step 6: Final answer
    x = 13,295.40

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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.