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Finding the Fourth Proportional to 10,367.56, 14,298.42 and 7,009.48

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Solution

The fourth proportional to 10,367.56, 14,298.42 and 7,009.48 is: 9,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.56 : 14,298.42 = 7,009.48 : x
  2. Step 2: Convert to fraction form
    10,367.56/14,298.42 = 7,009.48/x
  3. Step 3: Cross multiply
    10,367.56x = 14,298.42 × 7,009.48
  4. Step 4: Simplify right side
    10,367.56x = 100,224,489.02
  5. Step 5: Solve for x
    x = 100,224,489.02/10,367.56
  6. Step 6: Final answer
    x = 9,667.12

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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.