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Finding the Fourth Proportional to 10,354.25, 15,604.25 and 9,368.39

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Solution

The fourth proportional to 10,354.25, 15,604.25 and 9,368.39 is: 14,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.25 : 15,604.25 = 9,368.39 : x
  2. Step 2: Convert to fraction form
    10,354.25/15,604.25 = 9,368.39/x
  3. Step 3: Cross multiply
    10,354.25x = 15,604.25 × 9,368.39
  4. Step 4: Simplify right side
    10,354.25x = 146,186,658.91
  5. Step 5: Solve for x
    x = 146,186,658.91/10,354.25
  6. Step 6: Final answer
    x = 14,118.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.