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Finding the Fourth Proportional to 10,390.32, 14,327.73 and 6,849

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Solution

The fourth proportional to 10,390.32, 14,327.73 and 6,849 is: 9,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.32 : 14,327.73 = 6,849 : x
  2. Step 2: Convert to fraction form
    10,390.32/14,327.73 = 6,849/x
  3. Step 3: Cross multiply
    10,390.32x = 14,327.73 × 6,849
  4. Step 4: Simplify right side
    10,390.32x = 98,130,622.77
  5. Step 5: Solve for x
    x = 98,130,622.77/10,390.32
  6. Step 6: Final answer
    x = 9,444.43

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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.