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Finding the Fourth Proportional to 12,409.96, 18,618 and 6,172.93

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Solution

The fourth proportional to 12,409.96, 18,618 and 6,172.93 is: 9,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.96 : 18,618 = 6,172.93 : x
  2. Step 2: Convert to fraction form
    12,409.96/18,618 = 6,172.93/x
  3. Step 3: Cross multiply
    12,409.96x = 18,618 × 6,172.93
  4. Step 4: Simplify right side
    12,409.96x = 114,927,610.74
  5. Step 5: Solve for x
    x = 114,927,610.74/12,409.96
  6. Step 6: Final answer
    x = 9,260.92

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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.