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Finding the Fourth Proportional to 6,210.62, 9,316 and 1,828.16

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Solution

The fourth proportional to 6,210.62, 9,316 and 1,828.16 is: 2,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.62 : 9,316 = 1,828.16 : x
  2. Step 2: Convert to fraction form
    6,210.62/9,316 = 1,828.16/x
  3. Step 3: Cross multiply
    6,210.62x = 9,316 × 1,828.16
  4. Step 4: Simplify right side
    6,210.62x = 17,031,138.56
  5. Step 5: Solve for x
    x = 17,031,138.56/6,210.62
  6. Step 6: Final answer
    x = 2,742.26

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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.