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Finding the Fourth Proportional to 9,667.40, 14,518.70 and 8,457.80

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Solution

The fourth proportional to 9,667.40, 14,518.70 and 8,457.80 is: 12,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.40 : 14,518.70 = 8,457.80 : x
  2. Step 2: Convert to fraction form
    9,667.40/14,518.70 = 8,457.80/x
  3. Step 3: Cross multiply
    9,667.40x = 14,518.70 × 8,457.80
  4. Step 4: Simplify right side
    9,667.40x = 122,796,260.86
  5. Step 5: Solve for x
    x = 122,796,260.86/9,667.40
  6. Step 6: Final answer
    x = 12,702.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.