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Finding the Fourth Proportional to 6,315.84, 9,473.70 and 2,421.18

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Solution

The fourth proportional to 6,315.84, 9,473.70 and 2,421.18 is: 3,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.84 : 9,473.70 = 2,421.18 : x
  2. Step 2: Convert to fraction form
    6,315.84/9,473.70 = 2,421.18/x
  3. Step 3: Cross multiply
    6,315.84x = 9,473.70 × 2,421.18
  4. Step 4: Simplify right side
    6,315.84x = 22,937,532.97
  5. Step 5: Solve for x
    x = 22,937,532.97/6,315.84
  6. Step 6: Final answer
    x = 3,631.75

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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.