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Finding the Fourth Proportional to 10,018.91, 13,820.63 and 6,989.31

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Solution

The fourth proportional to 10,018.91, 13,820.63 and 6,989.31 is: 9,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.91 : 13,820.63 = 6,989.31 : x
  2. Step 2: Convert to fraction form
    10,018.91/13,820.63 = 6,989.31/x
  3. Step 3: Cross multiply
    10,018.91x = 13,820.63 × 6,989.31
  4. Step 4: Simplify right side
    10,018.91x = 96,596,667.47
  5. Step 5: Solve for x
    x = 96,596,667.47/10,018.91
  6. Step 6: Final answer
    x = 9,641.43

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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.