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Finding the Fourth Proportional to 9,297.12, 12,829.72 and 5,047.96

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Solution

The fourth proportional to 9,297.12, 12,829.72 and 5,047.96 is: 6,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.12 : 12,829.72 = 5,047.96 : x
  2. Step 2: Convert to fraction form
    9,297.12/12,829.72 = 5,047.96/x
  3. Step 3: Cross multiply
    9,297.12x = 12,829.72 × 5,047.96
  4. Step 4: Simplify right side
    9,297.12x = 64,763,913.37
  5. Step 5: Solve for x
    x = 64,763,913.37/9,297.12
  6. Step 6: Final answer
    x = 6,966.02

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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.