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Finding the Fourth Proportional to 9,498.84, 13,109.23 and 6,306.50

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Solution

The fourth proportional to 9,498.84, 13,109.23 and 6,306.50 is: 8,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.84 : 13,109.23 = 6,306.50 : x
  2. Step 2: Convert to fraction form
    9,498.84/13,109.23 = 6,306.50/x
  3. Step 3: Cross multiply
    9,498.84x = 13,109.23 × 6,306.50
  4. Step 4: Simplify right side
    9,498.84x = 82,673,359.00
  5. Step 5: Solve for x
    x = 82,673,359.00/9,498.84
  6. Step 6: Final answer
    x = 8,703.52

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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.