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Finding the Fourth Proportional to 6,034.91, 9,055.76 and 4,714.97

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Solution

The fourth proportional to 6,034.91, 9,055.76 and 4,714.97 is: 7,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.91 : 9,055.76 = 4,714.97 : x
  2. Step 2: Convert to fraction form
    6,034.91/9,055.76 = 4,714.97/x
  3. Step 3: Cross multiply
    6,034.91x = 9,055.76 × 4,714.97
  4. Step 4: Simplify right side
    6,034.91x = 42,697,603.24
  5. Step 5: Solve for x
    x = 42,697,603.24/6,034.91
  6. Step 6: Final answer
    x = 7,075.11

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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.