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Finding the Fourth Proportional to 9,300.34, 12,825.66 and 6,108.02

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Solution

The fourth proportional to 9,300.34, 12,825.66 and 6,108.02 is: 8,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.34 : 12,825.66 = 6,108.02 : x
  2. Step 2: Convert to fraction form
    9,300.34/12,825.66 = 6,108.02/x
  3. Step 3: Cross multiply
    9,300.34x = 12,825.66 × 6,108.02
  4. Step 4: Simplify right side
    9,300.34x = 78,339,387.79
  5. Step 5: Solve for x
    x = 78,339,387.79/9,300.34
  6. Step 6: Final answer
    x = 8,423.28

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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.