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Finding the Fourth Proportional to 9,730.72, 13,420.56 and 8,809.12

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Solution

The fourth proportional to 9,730.72, 13,420.56 and 8,809.12 is: 12,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.72 : 13,420.56 = 8,809.12 : x
  2. Step 2: Convert to fraction form
    9,730.72/13,420.56 = 8,809.12/x
  3. Step 3: Cross multiply
    9,730.72x = 13,420.56 × 8,809.12
  4. Step 4: Simplify right side
    9,730.72x = 118,223,323.51
  5. Step 5: Solve for x
    x = 118,223,323.51/9,730.72
  6. Step 6: Final answer
    x = 12,149.49

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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.