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Finding the Fourth Proportional to 9,646.80, 14,458.05 and 8,601.90

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Solution

The fourth proportional to 9,646.80, 14,458.05 and 8,601.90 is: 12,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.80 : 14,458.05 = 8,601.90 : x
  2. Step 2: Convert to fraction form
    9,646.80/14,458.05 = 8,601.90/x
  3. Step 3: Cross multiply
    9,646.80x = 14,458.05 × 8,601.90
  4. Step 4: Simplify right side
    9,646.80x = 124,366,700.30
  5. Step 5: Solve for x
    x = 124,366,700.30/9,646.80
  6. Step 6: Final answer
    x = 12,892.02

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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.