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Finding the Fourth Proportional to 9,716.31, 14,580.18 and 4,522.23

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Solution

The fourth proportional to 9,716.31, 14,580.18 and 4,522.23 is: 6,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.31 : 14,580.18 = 4,522.23 : x
  2. Step 2: Convert to fraction form
    9,716.31/14,580.18 = 4,522.23/x
  3. Step 3: Cross multiply
    9,716.31x = 14,580.18 × 4,522.23
  4. Step 4: Simplify right side
    9,716.31x = 65,934,927.40
  5. Step 5: Solve for x
    x = 65,934,927.40/9,716.31
  6. Step 6: Final answer
    x = 6,786.00

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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.