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Finding the Fourth Proportional to 9,129.78, 13,700.23 and 6,320.86

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Solution

The fourth proportional to 9,129.78, 13,700.23 and 6,320.86 is: 9,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.78 : 13,700.23 = 6,320.86 : x
  2. Step 2: Convert to fraction form
    9,129.78/13,700.23 = 6,320.86/x
  3. Step 3: Cross multiply
    9,129.78x = 13,700.23 × 6,320.86
  4. Step 4: Simplify right side
    9,129.78x = 86,597,185.75
  5. Step 5: Solve for x
    x = 86,597,185.75/9,129.78
  6. Step 6: Final answer
    x = 9,485.13

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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.