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Finding the Fourth Proportional to 9,572.89, 13,207.43 and 5,794.62

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Solution

The fourth proportional to 9,572.89, 13,207.43 and 5,794.62 is: 7,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.89 : 13,207.43 = 5,794.62 : x
  2. Step 2: Convert to fraction form
    9,572.89/13,207.43 = 5,794.62/x
  3. Step 3: Cross multiply
    9,572.89x = 13,207.43 × 5,794.62
  4. Step 4: Simplify right side
    9,572.89x = 76,532,038.03
  5. Step 5: Solve for x
    x = 76,532,038.03/9,572.89
  6. Step 6: Final answer
    x = 7,994.66

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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.