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Finding the Fourth Proportional to 9,641.76, 13,309.52 and 6,507.04

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Solution

The fourth proportional to 9,641.76, 13,309.52 and 6,507.04 is: 8,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.76 : 13,309.52 = 6,507.04 : x
  2. Step 2: Convert to fraction form
    9,641.76/13,309.52 = 6,507.04/x
  3. Step 3: Cross multiply
    9,641.76x = 13,309.52 × 6,507.04
  4. Step 4: Simplify right side
    9,641.76x = 86,605,579.02
  5. Step 5: Solve for x
    x = 86,605,579.02/9,641.76
  6. Step 6: Final answer
    x = 8,982.34

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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.