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Finding the Fourth Proportional to 9,846.77, 13,588.66 and 5,870.17

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Solution

The fourth proportional to 9,846.77, 13,588.66 and 5,870.17 is: 8,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.77 : 13,588.66 = 5,870.17 : x
  2. Step 2: Convert to fraction form
    9,846.77/13,588.66 = 5,870.17/x
  3. Step 3: Cross multiply
    9,846.77x = 13,588.66 × 5,870.17
  4. Step 4: Simplify right side
    9,846.77x = 79,767,768.60
  5. Step 5: Solve for x
    x = 79,767,768.60/9,846.77
  6. Step 6: Final answer
    x = 8,100.91

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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.