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Finding the Fourth Proportional to 6,275.34, 9,417.74 and 2,330.24

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Solution

The fourth proportional to 6,275.34, 9,417.74 and 2,330.24 is: 3,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 9,417.74 = 2,330.24 : x
  2. Step 2: Convert to fraction form
    6,275.34/9,417.74 = 2,330.24/x
  3. Step 3: Cross multiply
    6,275.34x = 9,417.74 × 2,330.24
  4. Step 4: Simplify right side
    6,275.34x = 21,945,594.46
  5. Step 5: Solve for x
    x = 21,945,594.46/6,275.34
  6. Step 6: Final answer
    x = 3,497.12

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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.