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Finding the Fourth Proportional to 9,705.33, 14,560.59 and 3,465.99

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Solution

The fourth proportional to 9,705.33, 14,560.59 and 3,465.99 is: 5,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.33 : 14,560.59 = 3,465.99 : x
  2. Step 2: Convert to fraction form
    9,705.33/14,560.59 = 3,465.99/x
  3. Step 3: Cross multiply
    9,705.33x = 14,560.59 × 3,465.99
  4. Step 4: Simplify right side
    9,705.33x = 50,466,859.33
  5. Step 5: Solve for x
    x = 50,466,859.33/9,705.33
  6. Step 6: Final answer
    x = 5,199.91

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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.