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Finding the Fourth Proportional to 6,402.16, 9,603.74 and 2,455.31

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Solution

The fourth proportional to 6,402.16, 9,603.74 and 2,455.31 is: 3,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.16 : 9,603.74 = 2,455.31 : x
  2. Step 2: Convert to fraction form
    6,402.16/9,603.74 = 2,455.31/x
  3. Step 3: Cross multiply
    6,402.16x = 9,603.74 × 2,455.31
  4. Step 4: Simplify right side
    6,402.16x = 23,580,146.58
  5. Step 5: Solve for x
    x = 23,580,146.58/6,402.16
  6. Step 6: Final answer
    x = 3,683.15

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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.