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Finding the Fourth Proportional to 9,530.40, 13,150.08 and 5,337.84

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Solution

The fourth proportional to 9,530.40, 13,150.08 and 5,337.84 is: 7,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.40 : 13,150.08 = 5,337.84 : x
  2. Step 2: Convert to fraction form
    9,530.40/13,150.08 = 5,337.84/x
  3. Step 3: Cross multiply
    9,530.40x = 13,150.08 × 5,337.84
  4. Step 4: Simplify right side
    9,530.40x = 70,193,023.03
  5. Step 5: Solve for x
    x = 70,193,023.03/9,530.40
  6. Step 6: Final answer
    x = 7,365.17

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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.