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Finding the Fourth Proportional to 9,102.02, 12,529.19 and 7,847.22

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Solution

The fourth proportional to 9,102.02, 12,529.19 and 7,847.22 is: 10,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.02 : 12,529.19 = 7,847.22 : x
  2. Step 2: Convert to fraction form
    9,102.02/12,529.19 = 7,847.22/x
  3. Step 3: Cross multiply
    9,102.02x = 12,529.19 × 7,847.22
  4. Step 4: Simplify right side
    9,102.02x = 98,319,271.12
  5. Step 5: Solve for x
    x = 98,319,271.12/9,102.02
  6. Step 6: Final answer
    x = 10,801.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.