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Finding the Fourth Proportional to 9,407.20, 12,980.72 and 5,215.20

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Solution

The fourth proportional to 9,407.20, 12,980.72 and 5,215.20 is: 7,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.20 : 12,980.72 = 5,215.20 : x
  2. Step 2: Convert to fraction form
    9,407.20/12,980.72 = 5,215.20/x
  3. Step 3: Cross multiply
    9,407.20x = 12,980.72 × 5,215.20
  4. Step 4: Simplify right side
    9,407.20x = 67,697,050.94
  5. Step 5: Solve for x
    x = 67,697,050.94/9,407.20
  6. Step 6: Final answer
    x = 7,196.30

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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.