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Finding the Fourth Proportional to 9,535.97, 14,307.06 and 4,606.17

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Solution

The fourth proportional to 9,535.97, 14,307.06 and 4,606.17 is: 6,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.97 : 14,307.06 = 4,606.17 : x
  2. Step 2: Convert to fraction form
    9,535.97/14,307.06 = 4,606.17/x
  3. Step 3: Cross multiply
    9,535.97x = 14,307.06 × 4,606.17
  4. Step 4: Simplify right side
    9,535.97x = 65,900,750.56
  5. Step 5: Solve for x
    x = 65,900,750.56/9,535.97
  6. Step 6: Final answer
    x = 6,910.76

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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.