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Finding the Fourth Proportional to 9,859.78, 13,607.13 and 5,667.94

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Solution

The fourth proportional to 9,859.78, 13,607.13 and 5,667.94 is: 7,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.78 : 13,607.13 = 5,667.94 : x
  2. Step 2: Convert to fraction form
    9,859.78/13,607.13 = 5,667.94/x
  3. Step 3: Cross multiply
    9,859.78x = 13,607.13 × 5,667.94
  4. Step 4: Simplify right side
    9,859.78x = 77,124,396.41
  5. Step 5: Solve for x
    x = 77,124,396.41/9,859.78
  6. Step 6: Final answer
    x = 7,822.12

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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.