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Finding the Fourth Proportional to 9,784.99, 13,514.51 and 6,442.75

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Solution

The fourth proportional to 9,784.99, 13,514.51 and 6,442.75 is: 8,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.99 : 13,514.51 = 6,442.75 : x
  2. Step 2: Convert to fraction form
    9,784.99/13,514.51 = 6,442.75/x
  3. Step 3: Cross multiply
    9,784.99x = 13,514.51 × 6,442.75
  4. Step 4: Simplify right side
    9,784.99x = 87,070,642.30
  5. Step 5: Solve for x
    x = 87,070,642.30/9,784.99
  6. Step 6: Final answer
    x = 8,898.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.