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Finding the Fourth Proportional to 9,700.86, 14,552.64 and 3,124.83

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Solution

The fourth proportional to 9,700.86, 14,552.64 and 3,124.83 is: 4,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.86 : 14,552.64 = 3,124.83 : x
  2. Step 2: Convert to fraction form
    9,700.86/14,552.64 = 3,124.83/x
  3. Step 3: Cross multiply
    9,700.86x = 14,552.64 × 3,124.83
  4. Step 4: Simplify right side
    9,700.86x = 45,474,526.05
  5. Step 5: Solve for x
    x = 45,474,526.05/9,700.86
  6. Step 6: Final answer
    x = 4,687.68

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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.