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Finding the Fourth Proportional to 9,722.47, 14,583.24 and 4,454.44

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Solution

The fourth proportional to 9,722.47, 14,583.24 and 4,454.44 is: 6,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.47 : 14,583.24 = 4,454.44 : x
  2. Step 2: Convert to fraction form
    9,722.47/14,583.24 = 4,454.44/x
  3. Step 3: Cross multiply
    9,722.47x = 14,583.24 × 4,454.44
  4. Step 4: Simplify right side
    9,722.47x = 64,960,167.59
  5. Step 5: Solve for x
    x = 64,960,167.59/9,722.47
  6. Step 6: Final answer
    x = 6,681.45

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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.