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Finding the Fourth Proportional to 9,759.42, 13,468.05 and 5,567.67

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Solution

The fourth proportional to 9,759.42, 13,468.05 and 5,567.67 is: 7,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.42 : 13,468.05 = 5,567.67 : x
  2. Step 2: Convert to fraction form
    9,759.42/13,468.05 = 5,567.67/x
  3. Step 3: Cross multiply
    9,759.42x = 13,468.05 × 5,567.67
  4. Step 4: Simplify right side
    9,759.42x = 74,985,657.94
  5. Step 5: Solve for x
    x = 74,985,657.94/9,759.42
  6. Step 6: Final answer
    x = 7,683.41

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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.