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Finding the Fourth Proportional to 9,705.21, 13,391.05 and 6,173.61

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Solution

The fourth proportional to 9,705.21, 13,391.05 and 6,173.61 is: 8,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.21 : 13,391.05 = 6,173.61 : x
  2. Step 2: Convert to fraction form
    9,705.21/13,391.05 = 6,173.61/x
  3. Step 3: Cross multiply
    9,705.21x = 13,391.05 × 6,173.61
  4. Step 4: Simplify right side
    9,705.21x = 82,671,120.19
  5. Step 5: Solve for x
    x = 82,671,120.19/9,705.21
  6. Step 6: Final answer
    x = 8,518.22

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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.