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Finding the Fourth Proportional to 9,609.83, 13,259.54 and 5,834.98

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Solution

The fourth proportional to 9,609.83, 13,259.54 and 5,834.98 is: 8,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.83 : 13,259.54 = 5,834.98 : x
  2. Step 2: Convert to fraction form
    9,609.83/13,259.54 = 5,834.98/x
  3. Step 3: Cross multiply
    9,609.83x = 13,259.54 × 5,834.98
  4. Step 4: Simplify right side
    9,609.83x = 77,369,150.71
  5. Step 5: Solve for x
    x = 77,369,150.71/9,609.83
  6. Step 6: Final answer
    x = 8,051.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.