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Finding the Fourth Proportional to 6,275.84, 9,417.36 and 2,379.20

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Solution

The fourth proportional to 6,275.84, 9,417.36 and 2,379.20 is: 3,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.84 : 9,417.36 = 2,379.20 : x
  2. Step 2: Convert to fraction form
    6,275.84/9,417.36 = 2,379.20/x
  3. Step 3: Cross multiply
    6,275.84x = 9,417.36 × 2,379.20
  4. Step 4: Simplify right side
    6,275.84x = 22,405,782.91
  5. Step 5: Solve for x
    x = 22,405,782.91/6,275.84
  6. Step 6: Final answer
    x = 3,570.16

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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.