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Finding the Fourth Proportional to 6,354.84, 9,521.71 and 4,496.74

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Solution

The fourth proportional to 6,354.84, 9,521.71 and 4,496.74 is: 6,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.84 : 9,521.71 = 4,496.74 : x
  2. Step 2: Convert to fraction form
    6,354.84/9,521.71 = 4,496.74/x
  3. Step 3: Cross multiply
    6,354.84x = 9,521.71 × 4,496.74
  4. Step 4: Simplify right side
    6,354.84x = 42,816,654.23
  5. Step 5: Solve for x
    x = 42,816,654.23/6,354.84
  6. Step 6: Final answer
    x = 6,737.64

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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.