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Finding the Fourth Proportional to 9,417, 14,130.36 and 4,800

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Solution

The fourth proportional to 9,417, 14,130.36 and 4,800 is: 7,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 14,130.36 = 4,800 : x
  2. Step 2: Convert to fraction form
    9,417/14,130.36 = 4,800/x
  3. Step 3: Cross multiply
    9,417x = 14,130.36 × 4,800
  4. Step 4: Simplify right side
    9,417x = 67,825,728
  5. Step 5: Solve for x
    x = 67,825,728/9,417
  6. Step 6: Final answer
    x = 7,202.48

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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.