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Finding the Fourth Proportional to 9,564.30, 14,346.45 and 8,543.70

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Solution

The fourth proportional to 9,564.30, 14,346.45 and 8,543.70 is: 12,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.30 : 14,346.45 = 8,543.70 : x
  2. Step 2: Convert to fraction form
    9,564.30/14,346.45 = 8,543.70/x
  3. Step 3: Cross multiply
    9,564.30x = 14,346.45 × 8,543.70
  4. Step 4: Simplify right side
    9,564.30x = 122,571,764.87
  5. Step 5: Solve for x
    x = 122,571,764.87/9,564.30
  6. Step 6: Final answer
    x = 12,815.55

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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.