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Finding the Fourth Proportional to 6,368.14, 9,547.26 and 3,034.68

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Solution

The fourth proportional to 6,368.14, 9,547.26 and 3,034.68 is: 4,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.14 : 9,547.26 = 3,034.68 : x
  2. Step 2: Convert to fraction form
    6,368.14/9,547.26 = 3,034.68/x
  3. Step 3: Cross multiply
    6,368.14x = 9,547.26 × 3,034.68
  4. Step 4: Simplify right side
    6,368.14x = 28,972,878.98
  5. Step 5: Solve for x
    x = 28,972,878.98/6,368.14
  6. Step 6: Final answer
    x = 4,549.66

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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.