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Finding the Fourth Proportional to 6,298.51, 9,443.71 and 3,011.53

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Solution

The fourth proportional to 6,298.51, 9,443.71 and 3,011.53 is: 4,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.51 : 9,443.71 = 3,011.53 : x
  2. Step 2: Convert to fraction form
    6,298.51/9,443.71 = 3,011.53/x
  3. Step 3: Cross multiply
    6,298.51x = 9,443.71 × 3,011.53
  4. Step 4: Simplify right side
    6,298.51x = 28,440,015.98
  5. Step 5: Solve for x
    x = 28,440,015.98/6,298.51
  6. Step 6: Final answer
    x = 4,515.36

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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.