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Finding the Fourth Proportional to 10,733.63, 14,809.38 and 6,956.96

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Solution

The fourth proportional to 10,733.63, 14,809.38 and 6,956.96 is: 9,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.63 : 14,809.38 = 6,956.96 : x
  2. Step 2: Convert to fraction form
    10,733.63/14,809.38 = 6,956.96/x
  3. Step 3: Cross multiply
    10,733.63x = 14,809.38 × 6,956.96
  4. Step 4: Simplify right side
    10,733.63x = 103,028,203.28
  5. Step 5: Solve for x
    x = 103,028,203.28/10,733.63
  6. Step 6: Final answer
    x = 9,598.64

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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.