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Finding the Fourth Proportional to 6,357.12, 9,534.72 and 2,846.40

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Solution

The fourth proportional to 6,357.12, 9,534.72 and 2,846.40 is: 4,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.12 : 9,534.72 = 2,846.40 : x
  2. Step 2: Convert to fraction form
    6,357.12/9,534.72 = 2,846.40/x
  3. Step 3: Cross multiply
    6,357.12x = 9,534.72 × 2,846.40
  4. Step 4: Simplify right side
    6,357.12x = 27,139,627.01
  5. Step 5: Solve for x
    x = 27,139,627.01/6,357.12
  6. Step 6: Final answer
    x = 4,269.17

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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.