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Finding the Fourth Proportional to 6,315.06, 8,714.71 and 3,482.54

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Solution

The fourth proportional to 6,315.06, 8,714.71 and 3,482.54 is: 4,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.06 : 8,714.71 = 3,482.54 : x
  2. Step 2: Convert to fraction form
    6,315.06/8,714.71 = 3,482.54/x
  3. Step 3: Cross multiply
    6,315.06x = 8,714.71 × 3,482.54
  4. Step 4: Simplify right side
    6,315.06x = 30,349,326.16
  5. Step 5: Solve for x
    x = 30,349,326.16/6,315.06
  6. Step 6: Final answer
    x = 4,805.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.