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Finding the Fourth Proportional to 9,041.96, 12,477.54 and 5,265.24

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Solution

The fourth proportional to 9,041.96, 12,477.54 and 5,265.24 is: 7,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.96 : 12,477.54 = 5,265.24 : x
  2. Step 2: Convert to fraction form
    9,041.96/12,477.54 = 5,265.24/x
  3. Step 3: Cross multiply
    9,041.96x = 12,477.54 × 5,265.24
  4. Step 4: Simplify right side
    9,041.96x = 65,697,215.66
  5. Step 5: Solve for x
    x = 65,697,215.66/9,041.96
  6. Step 6: Final answer
    x = 7,265.81

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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.