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Finding the Fourth Proportional to 6,407.05, 9,554.04 and 6,178.63

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Solution

The fourth proportional to 6,407.05, 9,554.04 and 6,178.63 is: 9,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.05 : 9,554.04 = 6,178.63 : x
  2. Step 2: Convert to fraction form
    6,407.05/9,554.04 = 6,178.63/x
  3. Step 3: Cross multiply
    6,407.05x = 9,554.04 × 6,178.63
  4. Step 4: Simplify right side
    6,407.05x = 59,030,878.17
  5. Step 5: Solve for x
    x = 59,030,878.17/6,407.05
  6. Step 6: Final answer
    x = 9,213.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.