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Finding the Fourth Proportional to 9,206.56, 12,705.12 and 5,014.84

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Solution

The fourth proportional to 9,206.56, 12,705.12 and 5,014.84 is: 6,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.56 : 12,705.12 = 5,014.84 : x
  2. Step 2: Convert to fraction form
    9,206.56/12,705.12 = 5,014.84/x
  3. Step 3: Cross multiply
    9,206.56x = 12,705.12 × 5,014.84
  4. Step 4: Simplify right side
    9,206.56x = 63,714,143.98
  5. Step 5: Solve for x
    x = 63,714,143.98/9,206.56
  6. Step 6: Final answer
    x = 6,920.52

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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.