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Finding the Fourth Proportional to 9,409.64, 14,117.06 and 4,723.96

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Solution

The fourth proportional to 9,409.64, 14,117.06 and 4,723.96 is: 7,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.64 : 14,117.06 = 4,723.96 : x
  2. Step 2: Convert to fraction form
    9,409.64/14,117.06 = 4,723.96/x
  3. Step 3: Cross multiply
    9,409.64x = 14,117.06 × 4,723.96
  4. Step 4: Simplify right side
    9,409.64x = 66,688,426.76
  5. Step 5: Solve for x
    x = 66,688,426.76/9,409.64
  6. Step 6: Final answer
    x = 7,087.25

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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.