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Finding the Fourth Proportional to 9,656.31, 14,484.60 and 2,730.81

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Solution

The fourth proportional to 9,656.31, 14,484.60 and 2,730.81 is: 4,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.31 : 14,484.60 = 2,730.81 : x
  2. Step 2: Convert to fraction form
    9,656.31/14,484.60 = 2,730.81/x
  3. Step 3: Cross multiply
    9,656.31x = 14,484.60 × 2,730.81
  4. Step 4: Simplify right side
    9,656.31x = 39,554,690.53
  5. Step 5: Solve for x
    x = 39,554,690.53/9,656.31
  6. Step 6: Final answer
    x = 4,096.25

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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.