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Finding the Fourth Proportional to 9,102.12, 13,661.28 and 4,722.60

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Solution

The fourth proportional to 9,102.12, 13,661.28 and 4,722.60 is: 7,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.12 : 13,661.28 = 4,722.60 : x
  2. Step 2: Convert to fraction form
    9,102.12/13,661.28 = 4,722.60/x
  3. Step 3: Cross multiply
    9,102.12x = 13,661.28 × 4,722.60
  4. Step 4: Simplify right side
    9,102.12x = 64,516,760.93
  5. Step 5: Solve for x
    x = 64,516,760.93/9,102.12
  6. Step 6: Final answer
    x = 7,088.10

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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.