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Finding the Fourth Proportional to 6,101.01, 9,148.28 and 4,153.77

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Solution

The fourth proportional to 6,101.01, 9,148.28 and 4,153.77 is: 6,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.01 : 9,148.28 = 4,153.77 : x
  2. Step 2: Convert to fraction form
    6,101.01/9,148.28 = 4,153.77/x
  3. Step 3: Cross multiply
    6,101.01x = 9,148.28 × 4,153.77
  4. Step 4: Simplify right side
    6,101.01x = 37,999,830.25
  5. Step 5: Solve for x
    x = 37,999,830.25/6,101.01
  6. Step 6: Final answer
    x = 6,228.45

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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.