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Finding the Fourth Proportional to 9,675.64, 13,352.07 and 5,426.85

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Solution

The fourth proportional to 9,675.64, 13,352.07 and 5,426.85 is: 7,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.64 : 13,352.07 = 5,426.85 : x
  2. Step 2: Convert to fraction form
    9,675.64/13,352.07 = 5,426.85/x
  3. Step 3: Cross multiply
    9,675.64x = 13,352.07 × 5,426.85
  4. Step 4: Simplify right side
    9,675.64x = 72,459,681.08
  5. Step 5: Solve for x
    x = 72,459,681.08/9,675.64
  6. Step 6: Final answer
    x = 7,488.88

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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.