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Finding the Fourth Proportional to 9,757.60, 14,637.40 and 3,184.28

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Solution

The fourth proportional to 9,757.60, 14,637.40 and 3,184.28 is: 4,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.60 : 14,637.40 = 3,184.28 : x
  2. Step 2: Convert to fraction form
    9,757.60/14,637.40 = 3,184.28/x
  3. Step 3: Cross multiply
    9,757.60x = 14,637.40 × 3,184.28
  4. Step 4: Simplify right side
    9,757.60x = 46,609,580.07
  5. Step 5: Solve for x
    x = 46,609,580.07/9,757.60
  6. Step 6: Final answer
    x = 4,776.75

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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.