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Finding the Fourth Proportional to 9,105.47, 13,655.51 and 4,660.40

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Solution

The fourth proportional to 9,105.47, 13,655.51 and 4,660.40 is: 6,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.47 : 13,655.51 = 4,660.40 : x
  2. Step 2: Convert to fraction form
    9,105.47/13,655.51 = 4,660.40/x
  3. Step 3: Cross multiply
    9,105.47x = 13,655.51 × 4,660.40
  4. Step 4: Simplify right side
    9,105.47x = 63,640,047.22
  5. Step 5: Solve for x
    x = 63,640,047.22/9,105.47
  6. Step 6: Final answer
    x = 6,989.21

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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.