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Finding the Fourth Proportional to 6,435.12, 9,657 and 2,972.40

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Solution

The fourth proportional to 6,435.12, 9,657 and 2,972.40 is: 4,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.12 : 9,657 = 2,972.40 : x
  2. Step 2: Convert to fraction form
    6,435.12/9,657 = 2,972.40/x
  3. Step 3: Cross multiply
    6,435.12x = 9,657 × 2,972.40
  4. Step 4: Simplify right side
    6,435.12x = 28,704,466.80
  5. Step 5: Solve for x
    x = 28,704,466.80/6,435.12
  6. Step 6: Final answer
    x = 4,460.60

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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.