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Finding the Fourth Proportional to 9,784.59, 14,675.71 and 2,765.13

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Solution

The fourth proportional to 9,784.59, 14,675.71 and 2,765.13 is: 4,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.59 : 14,675.71 = 2,765.13 : x
  2. Step 2: Convert to fraction form
    9,784.59/14,675.71 = 2,765.13/x
  3. Step 3: Cross multiply
    9,784.59x = 14,675.71 × 2,765.13
  4. Step 4: Simplify right side
    9,784.59x = 40,580,245.99
  5. Step 5: Solve for x
    x = 40,580,245.99/9,784.59
  6. Step 6: Final answer
    x = 4,147.36

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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.