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Finding the Fourth Proportional to 9,778.14, 14,673.36 and 4,848.06

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Solution

The fourth proportional to 9,778.14, 14,673.36 and 4,848.06 is: 7,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.14 : 14,673.36 = 4,848.06 : x
  2. Step 2: Convert to fraction form
    9,778.14/14,673.36 = 4,848.06/x
  3. Step 3: Cross multiply
    9,778.14x = 14,673.36 × 4,848.06
  4. Step 4: Simplify right side
    9,778.14x = 71,137,329.68
  5. Step 5: Solve for x
    x = 71,137,329.68/9,778.14
  6. Step 6: Final answer
    x = 7,275.14

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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.