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Finding the Fourth Proportional to 6,715.20, 9,271.52 and 5,040.32

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Solution

The fourth proportional to 6,715.20, 9,271.52 and 5,040.32 is: 6,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.20 : 9,271.52 = 5,040.32 : x
  2. Step 2: Convert to fraction form
    6,715.20/9,271.52 = 5,040.32/x
  3. Step 3: Cross multiply
    6,715.20x = 9,271.52 × 5,040.32
  4. Step 4: Simplify right side
    6,715.20x = 46,731,427.69
  5. Step 5: Solve for x
    x = 46,731,427.69/6,715.20
  6. Step 6: Final answer
    x = 6,959.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.