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Finding the Fourth Proportional to 9,311.98, 12,849.77 and 5,483.01

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Solution

The fourth proportional to 9,311.98, 12,849.77 and 5,483.01 is: 7,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.98 : 12,849.77 = 5,483.01 : x
  2. Step 2: Convert to fraction form
    9,311.98/12,849.77 = 5,483.01/x
  3. Step 3: Cross multiply
    9,311.98x = 12,849.77 × 5,483.01
  4. Step 4: Simplify right side
    9,311.98x = 70,455,417.41
  5. Step 5: Solve for x
    x = 70,455,417.41/9,311.98
  6. Step 6: Final answer
    x = 7,566.10

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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.