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Finding the Fourth Proportional to 6,214.64, 9,319.61 and 2,053.40

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Solution

The fourth proportional to 6,214.64, 9,319.61 and 2,053.40 is: 3,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.64 : 9,319.61 = 2,053.40 : x
  2. Step 2: Convert to fraction form
    6,214.64/9,319.61 = 2,053.40/x
  3. Step 3: Cross multiply
    6,214.64x = 9,319.61 × 2,053.40
  4. Step 4: Simplify right side
    6,214.64x = 19,136,830.31
  5. Step 5: Solve for x
    x = 19,136,830.31/6,214.64
  6. Step 6: Final answer
    x = 3,079.32

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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.