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Finding the Fourth Proportional to 9,838.88, 14,758.44 and 5,732

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Solution

The fourth proportional to 9,838.88, 14,758.44 and 5,732 is: 8,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.88 : 14,758.44 = 5,732 : x
  2. Step 2: Convert to fraction form
    9,838.88/14,758.44 = 5,732/x
  3. Step 3: Cross multiply
    9,838.88x = 14,758.44 × 5,732
  4. Step 4: Simplify right side
    9,838.88x = 84,595,378.08
  5. Step 5: Solve for x
    x = 84,595,378.08/9,838.88
  6. Step 6: Final answer
    x = 8,598.07

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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.