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Finding the Fourth Proportional to 9,676.96, 14,517.52 and 5,058.72

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Solution

The fourth proportional to 9,676.96, 14,517.52 and 5,058.72 is: 7,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.96 : 14,517.52 = 5,058.72 : x
  2. Step 2: Convert to fraction form
    9,676.96/14,517.52 = 5,058.72/x
  3. Step 3: Cross multiply
    9,676.96x = 14,517.52 × 5,058.72
  4. Step 4: Simplify right side
    9,676.96x = 73,440,068.77
  5. Step 5: Solve for x
    x = 73,440,068.77/9,676.96
  6. Step 6: Final answer
    x = 7,589.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.