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Finding the Fourth Proportional to 9,746.46, 14,618.07 and 3,505.21

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Solution

The fourth proportional to 9,746.46, 14,618.07 and 3,505.21 is: 5,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.46 : 14,618.07 = 3,505.21 : x
  2. Step 2: Convert to fraction form
    9,746.46/14,618.07 = 3,505.21/x
  3. Step 3: Cross multiply
    9,746.46x = 14,618.07 × 3,505.21
  4. Step 4: Simplify right side
    9,746.46x = 51,239,368.60
  5. Step 5: Solve for x
    x = 51,239,368.60/9,746.46
  6. Step 6: Final answer
    x = 5,257.23

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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.