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Finding the Fourth Proportional to 7,094.58, 9,769.40 and 6,937.24

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Solution

The fourth proportional to 7,094.58, 9,769.40 and 6,937.24 is: 9,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.58 : 9,769.40 = 6,937.24 : x
  2. Step 2: Convert to fraction form
    7,094.58/9,769.40 = 6,937.24/x
  3. Step 3: Cross multiply
    7,094.58x = 9,769.40 × 6,937.24
  4. Step 4: Simplify right side
    7,094.58x = 67,772,672.46
  5. Step 5: Solve for x
    x = 67,772,672.46/7,094.58
  6. Step 6: Final answer
    x = 9,552.74

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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.