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Finding the Fourth Proportional to 9,522.61, 13,145.69 and 6,341.20

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Solution

The fourth proportional to 9,522.61, 13,145.69 and 6,341.20 is: 8,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.61 : 13,145.69 = 6,341.20 : x
  2. Step 2: Convert to fraction form
    9,522.61/13,145.69 = 6,341.20/x
  3. Step 3: Cross multiply
    9,522.61x = 13,145.69 × 6,341.20
  4. Step 4: Simplify right side
    9,522.61x = 83,359,384.86
  5. Step 5: Solve for x
    x = 83,359,384.86/9,522.61
  6. Step 6: Final answer
    x = 8,753.84

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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.