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Finding the Fourth Proportional to 9,256.68, 13,887.05 and 2,683.40

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Solution

The fourth proportional to 9,256.68, 13,887.05 and 2,683.40 is: 4,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.68 : 13,887.05 = 2,683.40 : x
  2. Step 2: Convert to fraction form
    9,256.68/13,887.05 = 2,683.40/x
  3. Step 3: Cross multiply
    9,256.68x = 13,887.05 × 2,683.40
  4. Step 4: Simplify right side
    9,256.68x = 37,264,427.12
  5. Step 5: Solve for x
    x = 37,264,427.12/9,256.68
  6. Step 6: Final answer
    x = 4,025.68

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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.