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Finding the Fourth Proportional to 9,145.89, 13,718.52 and 3,877.51

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Solution

The fourth proportional to 9,145.89, 13,718.52 and 3,877.51 is: 5,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.89 : 13,718.52 = 3,877.51 : x
  2. Step 2: Convert to fraction form
    9,145.89/13,718.52 = 3,877.51/x
  3. Step 3: Cross multiply
    9,145.89x = 13,718.52 × 3,877.51
  4. Step 4: Simplify right side
    9,145.89x = 53,193,664.19
  5. Step 5: Solve for x
    x = 53,193,664.19/9,145.89
  6. Step 6: Final answer
    x = 5,816.13

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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.