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Finding the Fourth Proportional to 6,637.56, 9,156.75 and 4,280.46

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Solution

The fourth proportional to 6,637.56, 9,156.75 and 4,280.46 is: 5,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.56 : 9,156.75 = 4,280.46 : x
  2. Step 2: Convert to fraction form
    6,637.56/9,156.75 = 4,280.46/x
  3. Step 3: Cross multiply
    6,637.56x = 9,156.75 × 4,280.46
  4. Step 4: Simplify right side
    6,637.56x = 39,195,102.11
  5. Step 5: Solve for x
    x = 39,195,102.11/6,637.56
  6. Step 6: Final answer
    x = 5,905.05

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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.