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Finding the Fourth Proportional to 6,957.36, 9,598.14 and 4,602.78

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Solution

The fourth proportional to 6,957.36, 9,598.14 and 4,602.78 is: 6,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.36 : 9,598.14 = 4,602.78 : x
  2. Step 2: Convert to fraction form
    6,957.36/9,598.14 = 4,602.78/x
  3. Step 3: Cross multiply
    6,957.36x = 9,598.14 × 4,602.78
  4. Step 4: Simplify right side
    6,957.36x = 44,178,126.83
  5. Step 5: Solve for x
    x = 44,178,126.83/6,957.36
  6. Step 6: Final answer
    x = 6,349.84

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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.