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Finding the Fourth Proportional to 9,530.64, 13,149.18 and 5,550.84

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Solution

The fourth proportional to 9,530.64, 13,149.18 and 5,550.84 is: 7,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.64 : 13,149.18 = 5,550.84 : x
  2. Step 2: Convert to fraction form
    9,530.64/13,149.18 = 5,550.84/x
  3. Step 3: Cross multiply
    9,530.64x = 13,149.18 × 5,550.84
  4. Step 4: Simplify right side
    9,530.64x = 72,988,994.31
  5. Step 5: Solve for x
    x = 72,988,994.31/9,530.64
  6. Step 6: Final answer
    x = 7,658.35

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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.