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Finding the Fourth Proportional to 9,102.26, 12,562.86 and 5,700.86

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Solution

The fourth proportional to 9,102.26, 12,562.86 and 5,700.86 is: 7,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.26 : 12,562.86 = 5,700.86 : x
  2. Step 2: Convert to fraction form
    9,102.26/12,562.86 = 5,700.86/x
  3. Step 3: Cross multiply
    9,102.26x = 12,562.86 × 5,700.86
  4. Step 4: Simplify right side
    9,102.26x = 71,619,106.06
  5. Step 5: Solve for x
    x = 71,619,106.06/9,102.26
  6. Step 6: Final answer
    x = 7,868.28

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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.