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Finding the Fourth Proportional to 9,678.96, 14,508.64 and 6,559.28

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Solution

The fourth proportional to 9,678.96, 14,508.64 and 6,559.28 is: 9,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.96 : 14,508.64 = 6,559.28 : x
  2. Step 2: Convert to fraction form
    9,678.96/14,508.64 = 6,559.28/x
  3. Step 3: Cross multiply
    9,678.96x = 14,508.64 × 6,559.28
  4. Step 4: Simplify right side
    9,678.96x = 95,166,252.05
  5. Step 5: Solve for x
    x = 95,166,252.05/9,678.96
  6. Step 6: Final answer
    x = 9,832.28

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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.