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Finding the Fourth Proportional to 9,838.68, 14,758.16 and 5,483.82

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Solution

The fourth proportional to 9,838.68, 14,758.16 and 5,483.82 is: 8,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.68 : 14,758.16 = 5,483.82 : x
  2. Step 2: Convert to fraction form
    9,838.68/14,758.16 = 5,483.82/x
  3. Step 3: Cross multiply
    9,838.68x = 14,758.16 × 5,483.82
  4. Step 4: Simplify right side
    9,838.68x = 80,931,065.55
  5. Step 5: Solve for x
    x = 80,931,065.55/9,838.68
  6. Step 6: Final answer
    x = 8,225.81

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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.