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Finding the Fourth Proportional to 7,223.52, 9,969.12 and 4,080

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Solution

The fourth proportional to 7,223.52, 9,969.12 and 4,080 is: 5,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.52 : 9,969.12 = 4,080 : x
  2. Step 2: Convert to fraction form
    7,223.52/9,969.12 = 4,080/x
  3. Step 3: Cross multiply
    7,223.52x = 9,969.12 × 4,080
  4. Step 4: Simplify right side
    7,223.52x = 40,674,009.60
  5. Step 5: Solve for x
    x = 40,674,009.60/7,223.52
  6. Step 6: Final answer
    x = 5,630.77

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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.