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Finding the Fourth Proportional to 9,781.53, 14,672.16 and 2,386.02

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Solution

The fourth proportional to 9,781.53, 14,672.16 and 2,386.02 is: 3,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.53 : 14,672.16 = 2,386.02 : x
  2. Step 2: Convert to fraction form
    9,781.53/14,672.16 = 2,386.02/x
  3. Step 3: Cross multiply
    9,781.53x = 14,672.16 × 2,386.02
  4. Step 4: Simplify right side
    9,781.53x = 35,008,067.20
  5. Step 5: Solve for x
    x = 35,008,067.20/9,781.53
  6. Step 6: Final answer
    x = 3,579.00

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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.