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Finding the Fourth Proportional to 7,123.23, 9,798.84 and 5,794.02

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Solution

The fourth proportional to 7,123.23, 9,798.84 and 5,794.02 is: 7,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.23 : 9,798.84 = 5,794.02 : x
  2. Step 2: Convert to fraction form
    7,123.23/9,798.84 = 5,794.02/x
  3. Step 3: Cross multiply
    7,123.23x = 9,798.84 × 5,794.02
  4. Step 4: Simplify right side
    7,123.23x = 56,774,674.94
  5. Step 5: Solve for x
    x = 56,774,674.94/7,123.23
  6. Step 6: Final answer
    x = 7,970.36

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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.