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Finding the Fourth Proportional to 6,101.64, 9,159.74 and 3,637.62

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Solution

The fourth proportional to 6,101.64, 9,159.74 and 3,637.62 is: 5,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.64 : 9,159.74 = 3,637.62 : x
  2. Step 2: Convert to fraction form
    6,101.64/9,159.74 = 3,637.62/x
  3. Step 3: Cross multiply
    6,101.64x = 9,159.74 × 3,637.62
  4. Step 4: Simplify right side
    6,101.64x = 33,319,635.23
  5. Step 5: Solve for x
    x = 33,319,635.23/6,101.64
  6. Step 6: Final answer
    x = 5,460.77

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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.