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Finding the Fourth Proportional to 9,392.16, 12,978.45 and 6,735.36

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Solution

The fourth proportional to 9,392.16, 12,978.45 and 6,735.36 is: 9,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.16 : 12,978.45 = 6,735.36 : x
  2. Step 2: Convert to fraction form
    9,392.16/12,978.45 = 6,735.36/x
  3. Step 3: Cross multiply
    9,392.16x = 12,978.45 × 6,735.36
  4. Step 4: Simplify right side
    9,392.16x = 87,414,532.99
  5. Step 5: Solve for x
    x = 87,414,532.99/9,392.16
  6. Step 6: Final answer
    x = 9,307.18

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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.