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Finding the Fourth Proportional to 6,637.65, 9,159.96 and 3,653.60

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Solution

The fourth proportional to 6,637.65, 9,159.96 and 3,653.60 is: 5,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.65 : 9,159.96 = 3,653.60 : x
  2. Step 2: Convert to fraction form
    6,637.65/9,159.96 = 3,653.60/x
  3. Step 3: Cross multiply
    6,637.65x = 9,159.96 × 3,653.60
  4. Step 4: Simplify right side
    6,637.65x = 33,466,784.06
  5. Step 5: Solve for x
    x = 33,466,784.06/6,637.65
  6. Step 6: Final answer
    x = 5,041.96

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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.