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Finding the Fourth Proportional to 9,459, 14,188.56 and 3,303

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Solution

The fourth proportional to 9,459, 14,188.56 and 3,303 is: 4,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 14,188.56 = 3,303 : x
  2. Step 2: Convert to fraction form
    9,459/14,188.56 = 3,303/x
  3. Step 3: Cross multiply
    9,459x = 14,188.56 × 3,303
  4. Step 4: Simplify right side
    9,459x = 46,864,813.68
  5. Step 5: Solve for x
    x = 46,864,813.68/9,459
  6. Step 6: Final answer
    x = 4,954.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.