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Finding the Fourth Proportional to 9,742.95, 14,581.62 and 8,102.70

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Solution

The fourth proportional to 9,742.95, 14,581.62 and 8,102.70 is: 12,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.95 : 14,581.62 = 8,102.70 : x
  2. Step 2: Convert to fraction form
    9,742.95/14,581.62 = 8,102.70/x
  3. Step 3: Cross multiply
    9,742.95x = 14,581.62 × 8,102.70
  4. Step 4: Simplify right side
    9,742.95x = 118,150,492.37
  5. Step 5: Solve for x
    x = 118,150,492.37/9,742.95
  6. Step 6: Final answer
    x = 12,126.77

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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.