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Finding the Fourth Proportional to 9,618.58, 14,427.80 and 5,178.34

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Solution

The fourth proportional to 9,618.58, 14,427.80 and 5,178.34 is: 7,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.58 : 14,427.80 = 5,178.34 : x
  2. Step 2: Convert to fraction form
    9,618.58/14,427.80 = 5,178.34/x
  3. Step 3: Cross multiply
    9,618.58x = 14,427.80 × 5,178.34
  4. Step 4: Simplify right side
    9,618.58x = 74,712,053.85
  5. Step 5: Solve for x
    x = 74,712,053.85/9,618.58
  6. Step 6: Final answer
    x = 7,767.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.