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Finding the Fourth Proportional to 9,832.07, 13,554.98 and 9,526.31

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Solution

The fourth proportional to 9,832.07, 13,554.98 and 9,526.31 is: 13,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.07 : 13,554.98 = 9,526.31 : x
  2. Step 2: Convert to fraction form
    9,832.07/13,554.98 = 9,526.31/x
  3. Step 3: Cross multiply
    9,832.07x = 13,554.98 × 9,526.31
  4. Step 4: Simplify right side
    9,832.07x = 129,128,897.56
  5. Step 5: Solve for x
    x = 129,128,897.56/9,832.07
  6. Step 6: Final answer
    x = 13,133.45

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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.