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Finding the Fourth Proportional to 6,567.55, 9,840.38 and 4,616.26

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Solution

The fourth proportional to 6,567.55, 9,840.38 and 4,616.26 is: 6,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.55 : 9,840.38 = 4,616.26 : x
  2. Step 2: Convert to fraction form
    6,567.55/9,840.38 = 4,616.26/x
  3. Step 3: Cross multiply
    6,567.55x = 9,840.38 × 4,616.26
  4. Step 4: Simplify right side
    6,567.55x = 45,425,704.90
  5. Step 5: Solve for x
    x = 45,425,704.90/6,567.55
  6. Step 6: Final answer
    x = 6,916.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.