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Finding the Fourth Proportional to 7,009.02, 9,684.72 and 5,604.30

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Solution

The fourth proportional to 7,009.02, 9,684.72 and 5,604.30 is: 7,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.02 : 9,684.72 = 5,604.30 : x
  2. Step 2: Convert to fraction form
    7,009.02/9,684.72 = 5,604.30/x
  3. Step 3: Cross multiply
    7,009.02x = 9,684.72 × 5,604.30
  4. Step 4: Simplify right side
    7,009.02x = 54,276,076.30
  5. Step 5: Solve for x
    x = 54,276,076.30/7,009.02
  6. Step 6: Final answer
    x = 7,743.75

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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.