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Finding the Fourth Proportional to 9,676.90, 13,356.75 and 5,699.32

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Solution

The fourth proportional to 9,676.90, 13,356.75 and 5,699.32 is: 7,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.90 : 13,356.75 = 5,699.32 : x
  2. Step 2: Convert to fraction form
    9,676.90/13,356.75 = 5,699.32/x
  3. Step 3: Cross multiply
    9,676.90x = 13,356.75 × 5,699.32
  4. Step 4: Simplify right side
    9,676.90x = 76,124,392.41
  5. Step 5: Solve for x
    x = 76,124,392.41/9,676.90
  6. Step 6: Final answer
    x = 7,866.61

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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.