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Finding the Fourth Proportional to 9,407.87, 12,980.27 and 5,821.10

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Solution

The fourth proportional to 9,407.87, 12,980.27 and 5,821.10 is: 8,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.87 : 12,980.27 = 5,821.10 : x
  2. Step 2: Convert to fraction form
    9,407.87/12,980.27 = 5,821.10/x
  3. Step 3: Cross multiply
    9,407.87x = 12,980.27 × 5,821.10
  4. Step 4: Simplify right side
    9,407.87x = 75,559,420.59
  5. Step 5: Solve for x
    x = 75,559,420.59/9,407.87
  6. Step 6: Final answer
    x = 8,031.52

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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.