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Finding the Fourth Proportional to 9,644.52, 14,463.08 and 4,646.02

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Solution

The fourth proportional to 9,644.52, 14,463.08 and 4,646.02 is: 6,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.52 : 14,463.08 = 4,646.02 : x
  2. Step 2: Convert to fraction form
    9,644.52/14,463.08 = 4,646.02/x
  3. Step 3: Cross multiply
    9,644.52x = 14,463.08 × 4,646.02
  4. Step 4: Simplify right side
    9,644.52x = 67,195,758.94
  5. Step 5: Solve for x
    x = 67,195,758.94/9,644.52
  6. Step 6: Final answer
    x = 6,967.25

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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.