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Finding the Fourth Proportional to 9,746.64, 14,620.92 and 2,822.16

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Solution

The fourth proportional to 9,746.64, 14,620.92 and 2,822.16 is: 4,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.64 : 14,620.92 = 2,822.16 : x
  2. Step 2: Convert to fraction form
    9,746.64/14,620.92 = 2,822.16/x
  3. Step 3: Cross multiply
    9,746.64x = 14,620.92 × 2,822.16
  4. Step 4: Simplify right side
    9,746.64x = 41,262,575.59
  5. Step 5: Solve for x
    x = 41,262,575.59/9,746.64
  6. Step 6: Final answer
    x = 4,233.52

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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.