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Finding the Fourth Proportional to 9,700.92, 14,549.22 and 3,855.96

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Solution

The fourth proportional to 9,700.92, 14,549.22 and 3,855.96 is: 5,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.92 : 14,549.22 = 3,855.96 : x
  2. Step 2: Convert to fraction form
    9,700.92/14,549.22 = 3,855.96/x
  3. Step 3: Cross multiply
    9,700.92x = 14,549.22 × 3,855.96
  4. Step 4: Simplify right side
    9,700.92x = 56,101,210.35
  5. Step 5: Solve for x
    x = 56,101,210.35/9,700.92
  6. Step 6: Final answer
    x = 5,783.08

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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.