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Finding the Fourth Proportional to 9,596.07, 13,239.06 and 5,816.51

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Solution

The fourth proportional to 9,596.07, 13,239.06 and 5,816.51 is: 8,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.07 : 13,239.06 = 5,816.51 : x
  2. Step 2: Convert to fraction form
    9,596.07/13,239.06 = 5,816.51/x
  3. Step 3: Cross multiply
    9,596.07x = 13,239.06 × 5,816.51
  4. Step 4: Simplify right side
    9,596.07x = 77,005,058.69
  5. Step 5: Solve for x
    x = 77,005,058.69/9,596.07
  6. Step 6: Final answer
    x = 8,024.65

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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.