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Finding the Fourth Proportional to 9,676.45, 13,347.82 and 6,085.70

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Solution

The fourth proportional to 9,676.45, 13,347.82 and 6,085.70 is: 8,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.45 : 13,347.82 = 6,085.70 : x
  2. Step 2: Convert to fraction form
    9,676.45/13,347.82 = 6,085.70/x
  3. Step 3: Cross multiply
    9,676.45x = 13,347.82 × 6,085.70
  4. Step 4: Simplify right side
    9,676.45x = 81,230,828.17
  5. Step 5: Solve for x
    x = 81,230,828.17/9,676.45
  6. Step 6: Final answer
    x = 8,394.69

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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.