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Finding the Fourth Proportional to 6,203.68, 9,300.58 and 2,254.32

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Solution

The fourth proportional to 6,203.68, 9,300.58 and 2,254.32 is: 3,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.68 : 9,300.58 = 2,254.32 : x
  2. Step 2: Convert to fraction form
    6,203.68/9,300.58 = 2,254.32/x
  3. Step 3: Cross multiply
    6,203.68x = 9,300.58 × 2,254.32
  4. Step 4: Simplify right side
    6,203.68x = 20,966,483.51
  5. Step 5: Solve for x
    x = 20,966,483.51/6,203.68
  6. Step 6: Final answer
    x = 3,379.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.