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Finding the Fourth Proportional to 9,762.52, 14,633.22 and 3,916.12

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Solution

The fourth proportional to 9,762.52, 14,633.22 and 3,916.12 is: 5,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.52 : 14,633.22 = 3,916.12 : x
  2. Step 2: Convert to fraction form
    9,762.52/14,633.22 = 3,916.12/x
  3. Step 3: Cross multiply
    9,762.52x = 14,633.22 × 3,916.12
  4. Step 4: Simplify right side
    9,762.52x = 57,305,445.51
  5. Step 5: Solve for x
    x = 57,305,445.51/9,762.52
  6. Step 6: Final answer
    x = 5,869.94

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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.