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Finding the Fourth Proportional to 9,567.02, 13,201.98 and 5,375

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Solution

The fourth proportional to 9,567.02, 13,201.98 and 5,375 is: 7,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.02 : 13,201.98 = 5,375 : x
  2. Step 2: Convert to fraction form
    9,567.02/13,201.98 = 5,375/x
  3. Step 3: Cross multiply
    9,567.02x = 13,201.98 × 5,375
  4. Step 4: Simplify right side
    9,567.02x = 70,960,642.50
  5. Step 5: Solve for x
    x = 70,960,642.50/9,567.02
  6. Step 6: Final answer
    x = 7,417.21

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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.