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Finding the Fourth Proportional to 7,133.02, 9,840.24 and 4,615.94

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Solution

The fourth proportional to 7,133.02, 9,840.24 and 4,615.94 is: 6,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.02 : 9,840.24 = 4,615.94 : x
  2. Step 2: Convert to fraction form
    7,133.02/9,840.24 = 4,615.94/x
  3. Step 3: Cross multiply
    7,133.02x = 9,840.24 × 4,615.94
  4. Step 4: Simplify right side
    7,133.02x = 45,421,957.43
  5. Step 5: Solve for x
    x = 45,421,957.43/7,133.02
  6. Step 6: Final answer
    x = 6,367.84

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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.