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Finding the Fourth Proportional to 9,743.40, 14,606.55 and 5,784.90

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Solution

The fourth proportional to 9,743.40, 14,606.55 and 5,784.90 is: 8,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.40 : 14,606.55 = 5,784.90 : x
  2. Step 2: Convert to fraction form
    9,743.40/14,606.55 = 5,784.90/x
  3. Step 3: Cross multiply
    9,743.40x = 14,606.55 × 5,784.90
  4. Step 4: Simplify right side
    9,743.40x = 84,497,431.10
  5. Step 5: Solve for x
    x = 84,497,431.10/9,743.40
  6. Step 6: Final answer
    x = 8,672.27

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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.