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Finding the Fourth Proportional to 6,923.05, 9,547.41 and 6,123.44

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Solution

The fourth proportional to 6,923.05, 9,547.41 and 6,123.44 is: 8,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.05 : 9,547.41 = 6,123.44 : x
  2. Step 2: Convert to fraction form
    6,923.05/9,547.41 = 6,123.44/x
  3. Step 3: Cross multiply
    6,923.05x = 9,547.41 × 6,123.44
  4. Step 4: Simplify right side
    6,923.05x = 58,462,967.52
  5. Step 5: Solve for x
    x = 58,462,967.52/6,923.05
  6. Step 6: Final answer
    x = 8,444.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.