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Finding the Fourth Proportional to 9,446.04, 14,167.98 and 2,520

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Solution

The fourth proportional to 9,446.04, 14,167.98 and 2,520 is: 3,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.04 : 14,167.98 = 2,520 : x
  2. Step 2: Convert to fraction form
    9,446.04/14,167.98 = 2,520/x
  3. Step 3: Cross multiply
    9,446.04x = 14,167.98 × 2,520
  4. Step 4: Simplify right side
    9,446.04x = 35,703,309.60
  5. Step 5: Solve for x
    x = 35,703,309.60/9,446.04
  6. Step 6: Final answer
    x = 3,779.71

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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.