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Finding the Fourth Proportional to 9,929.36, 13,698.15 and 6,151.52

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Solution

The fourth proportional to 9,929.36, 13,698.15 and 6,151.52 is: 8,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.36 : 13,698.15 = 6,151.52 : x
  2. Step 2: Convert to fraction form
    9,929.36/13,698.15 = 6,151.52/x
  3. Step 3: Cross multiply
    9,929.36x = 13,698.15 × 6,151.52
  4. Step 4: Simplify right side
    9,929.36x = 84,264,443.69
  5. Step 5: Solve for x
    x = 84,264,443.69/9,929.36
  6. Step 6: Final answer
    x = 8,486.39

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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.