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Finding the Fourth Proportional to 9,566.34, 13,206.04 and 6,384.92

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Solution

The fourth proportional to 9,566.34, 13,206.04 and 6,384.92 is: 8,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.34 : 13,206.04 = 6,384.92 : x
  2. Step 2: Convert to fraction form
    9,566.34/13,206.04 = 6,384.92/x
  3. Step 3: Cross multiply
    9,566.34x = 13,206.04 × 6,384.92
  4. Step 4: Simplify right side
    9,566.34x = 84,319,508.92
  5. Step 5: Solve for x
    x = 84,319,508.92/9,566.34
  6. Step 6: Final answer
    x = 8,814.19

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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.