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Finding the Fourth Proportional to 9,675.85, 13,352.52 and 5,426.91

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Solution

The fourth proportional to 9,675.85, 13,352.52 and 5,426.91 is: 7,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.85 : 13,352.52 = 5,426.91 : x
  2. Step 2: Convert to fraction form
    9,675.85/13,352.52 = 5,426.91/x
  3. Step 3: Cross multiply
    9,675.85x = 13,352.52 × 5,426.91
  4. Step 4: Simplify right side
    9,675.85x = 72,462,924.31
  5. Step 5: Solve for x
    x = 72,462,924.31/9,675.85
  6. Step 6: Final answer
    x = 7,489.05

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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.