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Finding the Fourth Proportional to 6,977.03, 9,632.61 and 4,460.16

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Solution

The fourth proportional to 6,977.03, 9,632.61 and 4,460.16 is: 6,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.03 : 9,632.61 = 4,460.16 : x
  2. Step 2: Convert to fraction form
    6,977.03/9,632.61 = 4,460.16/x
  3. Step 3: Cross multiply
    6,977.03x = 9,632.61 × 4,460.16
  4. Step 4: Simplify right side
    6,977.03x = 42,962,959.52
  5. Step 5: Solve for x
    x = 42,962,959.52/6,977.03
  6. Step 6: Final answer
    x = 6,157.77

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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.