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Finding the Fourth Proportional to 9,740.08, 14,608.02 and 3,077.10

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Solution

The fourth proportional to 9,740.08, 14,608.02 and 3,077.10 is: 4,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.08 : 14,608.02 = 3,077.10 : x
  2. Step 2: Convert to fraction form
    9,740.08/14,608.02 = 3,077.10/x
  3. Step 3: Cross multiply
    9,740.08x = 14,608.02 × 3,077.10
  4. Step 4: Simplify right side
    9,740.08x = 44,950,338.34
  5. Step 5: Solve for x
    x = 44,950,338.34/9,740.08
  6. Step 6: Final answer
    x = 4,614.99

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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.