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Finding the Fourth Proportional to 9,295.20, 12,827.03 and 5,758.34

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Solution

The fourth proportional to 9,295.20, 12,827.03 and 5,758.34 is: 7,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.20 : 12,827.03 = 5,758.34 : x
  2. Step 2: Convert to fraction form
    9,295.20/12,827.03 = 5,758.34/x
  3. Step 3: Cross multiply
    9,295.20x = 12,827.03 × 5,758.34
  4. Step 4: Simplify right side
    9,295.20x = 73,862,307.00
  5. Step 5: Solve for x
    x = 73,862,307.00/9,295.20
  6. Step 6: Final answer
    x = 7,946.28

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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.