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Finding the Fourth Proportional to 9,498.34, 13,108.54 and 6,306.00

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Solution

The fourth proportional to 9,498.34, 13,108.54 and 6,306.00 is: 8,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.34 : 13,108.54 = 6,306.00 : x
  2. Step 2: Convert to fraction form
    9,498.34/13,108.54 = 6,306.00/x
  3. Step 3: Cross multiply
    9,498.34x = 13,108.54 × 6,306.00
  4. Step 4: Simplify right side
    9,498.34x = 82,662,387.70
  5. Step 5: Solve for x
    x = 82,662,387.70/9,498.34
  6. Step 6: Final answer
    x = 8,702.82

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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.