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Finding the Fourth Proportional to 10,335.70, 14,268.54 and 6,996.16

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Solution

The fourth proportional to 10,335.70, 14,268.54 and 6,996.16 is: 9,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.70 : 14,268.54 = 6,996.16 : x
  2. Step 2: Convert to fraction form
    10,335.70/14,268.54 = 6,996.16/x
  3. Step 3: Cross multiply
    10,335.70x = 14,268.54 × 6,996.16
  4. Step 4: Simplify right side
    10,335.70x = 99,824,988.81
  5. Step 5: Solve for x
    x = 99,824,988.81/10,335.70
  6. Step 6: Final answer
    x = 9,658.27

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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.