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Finding the Fourth Proportional to 6,176.76, 9,270 and 3,714.36

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Solution

The fourth proportional to 6,176.76, 9,270 and 3,714.36 is: 5,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.76 : 9,270 = 3,714.36 : x
  2. Step 2: Convert to fraction form
    6,176.76/9,270 = 3,714.36/x
  3. Step 3: Cross multiply
    6,176.76x = 9,270 × 3,714.36
  4. Step 4: Simplify right side
    6,176.76x = 34,432,117.20
  5. Step 5: Solve for x
    x = 34,432,117.20/6,176.76
  6. Step 6: Final answer
    x = 5,574.46

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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.