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Finding the Fourth Proportional to 6,563.26, 9,838.93 and 2,400.35

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Solution

The fourth proportional to 6,563.26, 9,838.93 and 2,400.35 is: 3,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.26 : 9,838.93 = 2,400.35 : x
  2. Step 2: Convert to fraction form
    6,563.26/9,838.93 = 2,400.35/x
  3. Step 3: Cross multiply
    6,563.26x = 9,838.93 × 2,400.35
  4. Step 4: Simplify right side
    6,563.26x = 23,616,875.63
  5. Step 5: Solve for x
    x = 23,616,875.63/6,563.26
  6. Step 6: Final answer
    x = 3,598.35

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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.