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Finding the Fourth Proportional to 6,501.64, 9,746.70 and 3,862.60

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Solution

The fourth proportional to 6,501.64, 9,746.70 and 3,862.60 is: 5,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.64 : 9,746.70 = 3,862.60 : x
  2. Step 2: Convert to fraction form
    6,501.64/9,746.70 = 3,862.60/x
  3. Step 3: Cross multiply
    6,501.64x = 9,746.70 × 3,862.60
  4. Step 4: Simplify right side
    6,501.64x = 37,647,603.42
  5. Step 5: Solve for x
    x = 37,647,603.42/6,501.64
  6. Step 6: Final answer
    x = 5,790.48

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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.