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Finding the Fourth Proportional to 9,785.36, 14,669.12 and 3,543.92

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Solution

The fourth proportional to 9,785.36, 14,669.12 and 3,543.92 is: 5,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.36 : 14,669.12 = 3,543.92 : x
  2. Step 2: Convert to fraction form
    9,785.36/14,669.12 = 3,543.92/x
  3. Step 3: Cross multiply
    9,785.36x = 14,669.12 × 3,543.92
  4. Step 4: Simplify right side
    9,785.36x = 51,986,187.75
  5. Step 5: Solve for x
    x = 51,986,187.75/9,785.36
  6. Step 6: Final answer
    x = 5,312.65

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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.