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Finding the Fourth Proportional to 6,100.02, 9,142.65 and 4,365

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Solution

The fourth proportional to 6,100.02, 9,142.65 and 4,365 is: 6,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.02 : 9,142.65 = 4,365 : x
  2. Step 2: Convert to fraction form
    6,100.02/9,142.65 = 4,365/x
  3. Step 3: Cross multiply
    6,100.02x = 9,142.65 × 4,365
  4. Step 4: Simplify right side
    6,100.02x = 39,907,667.25
  5. Step 5: Solve for x
    x = 39,907,667.25/6,100.02
  6. Step 6: Final answer
    x = 6,542.22

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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.