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Finding the Fourth Proportional to 9,665.66, 14,492.67 and 5,277.02

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Solution

The fourth proportional to 9,665.66, 14,492.67 and 5,277.02 is: 7,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.66 : 14,492.67 = 5,277.02 : x
  2. Step 2: Convert to fraction form
    9,665.66/14,492.67 = 5,277.02/x
  3. Step 3: Cross multiply
    9,665.66x = 14,492.67 × 5,277.02
  4. Step 4: Simplify right side
    9,665.66x = 76,478,109.44
  5. Step 5: Solve for x
    x = 76,478,109.44/9,665.66
  6. Step 6: Final answer
    x = 7,912.35

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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.