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Finding the Fourth Proportional to 9,594.60, 14,373.06 and 8,549.70

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Solution

The fourth proportional to 9,594.60, 14,373.06 and 8,549.70 is: 12,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.60 : 14,373.06 = 8,549.70 : x
  2. Step 2: Convert to fraction form
    9,594.60/14,373.06 = 8,549.70/x
  3. Step 3: Cross multiply
    9,594.60x = 14,373.06 × 8,549.70
  4. Step 4: Simplify right side
    9,594.60x = 122,885,351.08
  5. Step 5: Solve for x
    x = 122,885,351.08/9,594.60
  6. Step 6: Final answer
    x = 12,807.76

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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.