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Finding the Fourth Proportional to 9,577.70, 13,216.96 and 5,803.10

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Solution

The fourth proportional to 9,577.70, 13,216.96 and 5,803.10 is: 8,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.70 : 13,216.96 = 5,803.10 : x
  2. Step 2: Convert to fraction form
    9,577.70/13,216.96 = 5,803.10/x
  3. Step 3: Cross multiply
    9,577.70x = 13,216.96 × 5,803.10
  4. Step 4: Simplify right side
    9,577.70x = 76,699,340.58
  5. Step 5: Solve for x
    x = 76,699,340.58/9,577.70
  6. Step 6: Final answer
    x = 8,008.12

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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.