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Finding the Fourth Proportional to 6,214.30, 9,312.06 and 3,746.36

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Solution

The fourth proportional to 6,214.30, 9,312.06 and 3,746.36 is: 5,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.30 : 9,312.06 = 3,746.36 : x
  2. Step 2: Convert to fraction form
    6,214.30/9,312.06 = 3,746.36/x
  3. Step 3: Cross multiply
    6,214.30x = 9,312.06 × 3,746.36
  4. Step 4: Simplify right side
    6,214.30x = 34,886,329.10
  5. Step 5: Solve for x
    x = 34,886,329.10/6,214.30
  6. Step 6: Final answer
    x = 5,613.88

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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.