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Finding the Fourth Proportional to 9,292.32, 12,818.93 and 6,104.30

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Solution

The fourth proportional to 9,292.32, 12,818.93 and 6,104.30 is: 8,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.32 : 12,818.93 = 6,104.30 : x
  2. Step 2: Convert to fraction form
    9,292.32/12,818.93 = 6,104.30/x
  3. Step 3: Cross multiply
    9,292.32x = 12,818.93 × 6,104.30
  4. Step 4: Simplify right side
    9,292.32x = 78,250,499.78
  5. Step 5: Solve for x
    x = 78,250,499.78/9,292.32
  6. Step 6: Final answer
    x = 8,420.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.