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Finding the Fourth Proportional to 9,832.69, 13,555.85 and 9,526.93

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Solution

The fourth proportional to 9,832.69, 13,555.85 and 9,526.93 is: 13,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.69 : 13,555.85 = 9,526.93 : x
  2. Step 2: Convert to fraction form
    9,832.69/13,555.85 = 9,526.93/x
  3. Step 3: Cross multiply
    9,832.69x = 13,555.85 × 9,526.93
  4. Step 4: Simplify right side
    9,832.69x = 129,145,586.41
  5. Step 5: Solve for x
    x = 129,145,586.41/9,832.69
  6. Step 6: Final answer
    x = 13,134.31

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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.