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Finding the Fourth Proportional to 9,825.80, 14,737.60 and 2,899.76

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Solution

The fourth proportional to 9,825.80, 14,737.60 and 2,899.76 is: 4,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.80 : 14,737.60 = 2,899.76 : x
  2. Step 2: Convert to fraction form
    9,825.80/14,737.60 = 2,899.76/x
  3. Step 3: Cross multiply
    9,825.80x = 14,737.60 × 2,899.76
  4. Step 4: Simplify right side
    9,825.80x = 42,735,502.98
  5. Step 5: Solve for x
    x = 42,735,502.98/9,825.80
  6. Step 6: Final answer
    x = 4,349.32

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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.