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Finding the Fourth Proportional to 8,907.24, 12,289.98 and 6,782.28

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Solution

The fourth proportional to 8,907.24, 12,289.98 and 6,782.28 is: 9,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.24 : 12,289.98 = 6,782.28 : x
  2. Step 2: Convert to fraction form
    8,907.24/12,289.98 = 6,782.28/x
  3. Step 3: Cross multiply
    8,907.24x = 12,289.98 × 6,782.28
  4. Step 4: Simplify right side
    8,907.24x = 83,354,085.55
  5. Step 5: Solve for x
    x = 83,354,085.55/8,907.24
  6. Step 6: Final answer
    x = 9,358.02

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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.