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Finding the Fourth Proportional to 6,413, 9,619.72 and 3,292.16

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Solution

The fourth proportional to 6,413, 9,619.72 and 3,292.16 is: 4,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413 : 9,619.72 = 3,292.16 : x
  2. Step 2: Convert to fraction form
    6,413/9,619.72 = 3,292.16/x
  3. Step 3: Cross multiply
    6,413x = 9,619.72 × 3,292.16
  4. Step 4: Simplify right side
    6,413x = 31,669,657.40
  5. Step 5: Solve for x
    x = 31,669,657.40/6,413
  6. Step 6: Final answer
    x = 4,938.35

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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.