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Finding the Fourth Proportional to 6,953, 9,595.52 and 4,120.56

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Solution

The fourth proportional to 6,953, 9,595.52 and 4,120.56 is: 5,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953 : 9,595.52 = 4,120.56 : x
  2. Step 2: Convert to fraction form
    6,953/9,595.52 = 4,120.56/x
  3. Step 3: Cross multiply
    6,953x = 9,595.52 × 4,120.56
  4. Step 4: Simplify right side
    6,953x = 39,538,915.89
  5. Step 5: Solve for x
    x = 39,538,915.89/6,953
  6. Step 6: Final answer
    x = 5,686.60

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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.