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Finding the Fourth Proportional to 7,125.23, 9,801.60 and 5,796.02

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Solution

The fourth proportional to 7,125.23, 9,801.60 and 5,796.02 is: 7,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.23 : 9,801.60 = 5,796.02 : x
  2. Step 2: Convert to fraction form
    7,125.23/9,801.60 = 5,796.02/x
  3. Step 3: Cross multiply
    7,125.23x = 9,801.60 × 5,796.02
  4. Step 4: Simplify right side
    7,125.23x = 56,810,269.63
  5. Step 5: Solve for x
    x = 56,810,269.63/7,125.23
  6. Step 6: Final answer
    x = 7,973.11

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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.