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Finding the Fourth Proportional to 9,592.30, 13,233.86 and 5,812.74

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Solution

The fourth proportional to 9,592.30, 13,233.86 and 5,812.74 is: 8,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.30 : 13,233.86 = 5,812.74 : x
  2. Step 2: Convert to fraction form
    9,592.30/13,233.86 = 5,812.74/x
  3. Step 3: Cross multiply
    9,592.30x = 13,233.86 × 5,812.74
  4. Step 4: Simplify right side
    9,592.30x = 76,924,980.11
  5. Step 5: Solve for x
    x = 76,924,980.11/9,592.30
  6. Step 6: Final answer
    x = 8,019.45

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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.