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Finding the Fourth Proportional to 9,292.86, 12,817.44 and 5,888.70

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Solution

The fourth proportional to 9,292.86, 12,817.44 and 5,888.70 is: 8,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.86 : 12,817.44 = 5,888.70 : x
  2. Step 2: Convert to fraction form
    9,292.86/12,817.44 = 5,888.70/x
  3. Step 3: Cross multiply
    9,292.86x = 12,817.44 × 5,888.70
  4. Step 4: Simplify right side
    9,292.86x = 75,478,058.93
  5. Step 5: Solve for x
    x = 75,478,058.93/9,292.86
  6. Step 6: Final answer
    x = 8,122.16

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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.