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Finding the Fourth Proportional to 9,968.64, 13,746.72 and 8,557.44

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Solution

The fourth proportional to 9,968.64, 13,746.72 and 8,557.44 is: 11,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.64 : 13,746.72 = 8,557.44 : x
  2. Step 2: Convert to fraction form
    9,968.64/13,746.72 = 8,557.44/x
  3. Step 3: Cross multiply
    9,968.64x = 13,746.72 × 8,557.44
  4. Step 4: Simplify right side
    9,968.64x = 117,636,731.60
  5. Step 5: Solve for x
    x = 117,636,731.60/9,968.64
  6. Step 6: Final answer
    x = 11,800.68

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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.