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Finding the Fourth Proportional to 9,488.33, 13,064.91 and 8,598.34

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Solution

The fourth proportional to 9,488.33, 13,064.91 and 8,598.34 is: 11,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.33 : 13,064.91 = 8,598.34 : x
  2. Step 2: Convert to fraction form
    9,488.33/13,064.91 = 8,598.34/x
  3. Step 3: Cross multiply
    9,488.33x = 13,064.91 × 8,598.34
  4. Step 4: Simplify right side
    9,488.33x = 112,336,495.26
  5. Step 5: Solve for x
    x = 112,336,495.26/9,488.33
  6. Step 6: Final answer
    x = 11,839.44

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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.