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Finding the Fourth Proportional to 9,202.55, 12,699.86 and 5,114.48

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Solution

The fourth proportional to 9,202.55, 12,699.86 and 5,114.48 is: 7,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.55 : 12,699.86 = 5,114.48 : x
  2. Step 2: Convert to fraction form
    9,202.55/12,699.86 = 5,114.48/x
  3. Step 3: Cross multiply
    9,202.55x = 12,699.86 × 5,114.48
  4. Step 4: Simplify right side
    9,202.55x = 64,953,090.90
  5. Step 5: Solve for x
    x = 64,953,090.90/9,202.55
  6. Step 6: Final answer
    x = 7,058.17

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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.