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Finding the Fourth Proportional to 9,437, 14,153.28 and 3,884.84

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Solution

The fourth proportional to 9,437, 14,153.28 and 3,884.84 is: 5,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437 : 14,153.28 = 3,884.84 : x
  2. Step 2: Convert to fraction form
    9,437/14,153.28 = 3,884.84/x
  3. Step 3: Cross multiply
    9,437x = 14,153.28 × 3,884.84
  4. Step 4: Simplify right side
    9,437x = 54,983,228.28
  5. Step 5: Solve for x
    x = 54,983,228.28/9,437
  6. Step 6: Final answer
    x = 5,826.35

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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.