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Finding the Fourth Proportional to 9,832.96, 14,752.64 and 6,559.36

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Solution

The fourth proportional to 9,832.96, 14,752.64 and 6,559.36 is: 9,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.96 : 14,752.64 = 6,559.36 : x
  2. Step 2: Convert to fraction form
    9,832.96/14,752.64 = 6,559.36/x
  3. Step 3: Cross multiply
    9,832.96x = 14,752.64 × 6,559.36
  4. Step 4: Simplify right side
    9,832.96x = 96,767,876.71
  5. Step 5: Solve for x
    x = 96,767,876.71/9,832.96
  6. Step 6: Final answer
    x = 9,841.17

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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.