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Finding the Fourth Proportional to 9,838.02, 14,737.74 and 6,496.08

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Solution

The fourth proportional to 9,838.02, 14,737.74 and 6,496.08 is: 9,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.02 : 14,737.74 = 6,496.08 : x
  2. Step 2: Convert to fraction form
    9,838.02/14,737.74 = 6,496.08/x
  3. Step 3: Cross multiply
    9,838.02x = 14,737.74 × 6,496.08
  4. Step 4: Simplify right side
    9,838.02x = 95,737,538.06
  5. Step 5: Solve for x
    x = 95,737,538.06/9,838.02
  6. Step 6: Final answer
    x = 9,731.38

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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.