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Finding the Fourth Proportional to 7,117.44, 9,821.52 and 4,284.24

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Solution

The fourth proportional to 7,117.44, 9,821.52 and 4,284.24 is: 5,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.44 : 9,821.52 = 4,284.24 : x
  2. Step 2: Convert to fraction form
    7,117.44/9,821.52 = 4,284.24/x
  3. Step 3: Cross multiply
    7,117.44x = 9,821.52 × 4,284.24
  4. Step 4: Simplify right side
    7,117.44x = 42,077,748.84
  5. Step 5: Solve for x
    x = 42,077,748.84/7,117.44
  6. Step 6: Final answer
    x = 5,911.92

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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.