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Finding the Fourth Proportional to 9,646.36, 14,468.46 and 6,546.28

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Solution

The fourth proportional to 9,646.36, 14,468.46 and 6,546.28 is: 9,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.36 : 14,468.46 = 6,546.28 : x
  2. Step 2: Convert to fraction form
    9,646.36/14,468.46 = 6,546.28/x
  3. Step 3: Cross multiply
    9,646.36x = 14,468.46 × 6,546.28
  4. Step 4: Simplify right side
    9,646.36x = 94,714,590.33
  5. Step 5: Solve for x
    x = 94,714,590.33/9,646.36
  6. Step 6: Final answer
    x = 9,818.69

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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.