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Finding the Fourth Proportional to 9,206.64, 12,705.36 and 5,014.89

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Solution

The fourth proportional to 9,206.64, 12,705.36 and 5,014.89 is: 6,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.64 : 12,705.36 = 5,014.89 : x
  2. Step 2: Convert to fraction form
    9,206.64/12,705.36 = 5,014.89/x
  3. Step 3: Cross multiply
    9,206.64x = 12,705.36 × 5,014.89
  4. Step 4: Simplify right side
    9,206.64x = 63,715,982.81
  5. Step 5: Solve for x
    x = 63,715,982.81/9,206.64
  6. Step 6: Final answer
    x = 6,920.66

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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.