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Finding the Fourth Proportional to 9,784.60, 14,643.30 and 5,891.80

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Solution

The fourth proportional to 9,784.60, 14,643.30 and 5,891.80 is: 8,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.60 : 14,643.30 = 5,891.80 : x
  2. Step 2: Convert to fraction form
    9,784.60/14,643.30 = 5,891.80/x
  3. Step 3: Cross multiply
    9,784.60x = 14,643.30 × 5,891.80
  4. Step 4: Simplify right side
    9,784.60x = 86,275,394.94
  5. Step 5: Solve for x
    x = 86,275,394.94/9,784.60
  6. Step 6: Final answer
    x = 8,817.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.