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Finding the Fourth Proportional to 9,352.32, 12,897.20 and 6,293.07

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Solution

The fourth proportional to 9,352.32, 12,897.20 and 6,293.07 is: 8,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.32 : 12,897.20 = 6,293.07 : x
  2. Step 2: Convert to fraction form
    9,352.32/12,897.20 = 6,293.07/x
  3. Step 3: Cross multiply
    9,352.32x = 12,897.20 × 6,293.07
  4. Step 4: Simplify right side
    9,352.32x = 81,162,886.45
  5. Step 5: Solve for x
    x = 81,162,886.45/9,352.32
  6. Step 6: Final answer
    x = 8,678.37

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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.