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Finding the Fourth Proportional to 10,384.64, 14,326.47 and 6,609.87

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Solution

The fourth proportional to 10,384.64, 14,326.47 and 6,609.87 is: 9,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.64 : 14,326.47 = 6,609.87 : x
  2. Step 2: Convert to fraction form
    10,384.64/14,326.47 = 6,609.87/x
  3. Step 3: Cross multiply
    10,384.64x = 14,326.47 × 6,609.87
  4. Step 4: Simplify right side
    10,384.64x = 94,696,104.26
  5. Step 5: Solve for x
    x = 94,696,104.26/10,384.64
  6. Step 6: Final answer
    x = 9,118.86

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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.