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Finding the Fourth Proportional to 6,429.12, 9,648 and 2,966.40

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Solution

The fourth proportional to 6,429.12, 9,648 and 2,966.40 is: 4,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.12 : 9,648 = 2,966.40 : x
  2. Step 2: Convert to fraction form
    6,429.12/9,648 = 2,966.40/x
  3. Step 3: Cross multiply
    6,429.12x = 9,648 × 2,966.40
  4. Step 4: Simplify right side
    6,429.12x = 28,619,827.20
  5. Step 5: Solve for x
    x = 28,619,827.20/6,429.12
  6. Step 6: Final answer
    x = 4,451.59

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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.