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Finding the Fourth Proportional to 9,296.89, 12,829.71 and 5,047.96

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Solution

The fourth proportional to 9,296.89, 12,829.71 and 5,047.96 is: 6,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.89 : 12,829.71 = 5,047.96 : x
  2. Step 2: Convert to fraction form
    9,296.89/12,829.71 = 5,047.96/x
  3. Step 3: Cross multiply
    9,296.89x = 12,829.71 × 5,047.96
  4. Step 4: Simplify right side
    9,296.89x = 64,763,830.82
  5. Step 5: Solve for x
    x = 64,763,830.82/9,296.89
  6. Step 6: Final answer
    x = 6,966.18

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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.