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Finding the Fourth Proportional to 9,477.54, 13,079.10 and 5,286.06

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Solution

The fourth proportional to 9,477.54, 13,079.10 and 5,286.06 is: 7,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.54 : 13,079.10 = 5,286.06 : x
  2. Step 2: Convert to fraction form
    9,477.54/13,079.10 = 5,286.06/x
  3. Step 3: Cross multiply
    9,477.54x = 13,079.10 × 5,286.06
  4. Step 4: Simplify right side
    9,477.54x = 69,136,907.35
  5. Step 5: Solve for x
    x = 69,136,907.35/9,477.54
  6. Step 6: Final answer
    x = 7,294.82

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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.