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Finding the Fourth Proportional to 9,420.28, 12,992.64 and 6,586.72

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Solution

The fourth proportional to 9,420.28, 12,992.64 and 6,586.72 is: 9,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.28 : 12,992.64 = 6,586.72 : x
  2. Step 2: Convert to fraction form
    9,420.28/12,992.64 = 6,586.72/x
  3. Step 3: Cross multiply
    9,420.28x = 12,992.64 × 6,586.72
  4. Step 4: Simplify right side
    9,420.28x = 85,578,881.74
  5. Step 5: Solve for x
    x = 85,578,881.74/9,420.28
  6. Step 6: Final answer
    x = 9,084.54

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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.