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Finding the Fourth Proportional to 9,530.88, 13,142.40 and 5,802.24

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Solution

The fourth proportional to 9,530.88, 13,142.40 and 5,802.24 is: 8,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.88 : 13,142.40 = 5,802.24 : x
  2. Step 2: Convert to fraction form
    9,530.88/13,142.40 = 5,802.24/x
  3. Step 3: Cross multiply
    9,530.88x = 13,142.40 × 5,802.24
  4. Step 4: Simplify right side
    9,530.88x = 76,255,358.98
  5. Step 5: Solve for x
    x = 76,255,358.98/9,530.88
  6. Step 6: Final answer
    x = 8,000.87

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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.