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Finding the Fourth Proportional to 6,547.26, 9,034.53 and 3,714.06

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Solution

The fourth proportional to 6,547.26, 9,034.53 and 3,714.06 is: 5,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.26 : 9,034.53 = 3,714.06 : x
  2. Step 2: Convert to fraction form
    6,547.26/9,034.53 = 3,714.06/x
  3. Step 3: Cross multiply
    6,547.26x = 9,034.53 × 3,714.06
  4. Step 4: Simplify right side
    6,547.26x = 33,554,786.49
  5. Step 5: Solve for x
    x = 33,554,786.49/6,547.26
  6. Step 6: Final answer
    x = 5,125.01

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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.