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Finding the Fourth Proportional to 6,370.56, 9,561.60 and 4,320

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Solution

The fourth proportional to 6,370.56, 9,561.60 and 4,320 is: 6,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.56 : 9,561.60 = 4,320 : x
  2. Step 2: Convert to fraction form
    6,370.56/9,561.60 = 4,320/x
  3. Step 3: Cross multiply
    6,370.56x = 9,561.60 × 4,320
  4. Step 4: Simplify right side
    6,370.56x = 41,306,112
  5. Step 5: Solve for x
    x = 41,306,112/6,370.56
  6. Step 6: Final answer
    x = 6,483.91

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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.