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Finding the Fourth Proportional to 9,618.95, 14,409.23 and 6,322.05

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Solution

The fourth proportional to 9,618.95, 14,409.23 and 6,322.05 is: 9,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.95 : 14,409.23 = 6,322.05 : x
  2. Step 2: Convert to fraction form
    9,618.95/14,409.23 = 6,322.05/x
  3. Step 3: Cross multiply
    9,618.95x = 14,409.23 × 6,322.05
  4. Step 4: Simplify right side
    9,618.95x = 91,095,840.91
  5. Step 5: Solve for x
    x = 91,095,840.91/9,618.95
  6. Step 6: Final answer
    x = 9,470.45

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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.