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Finding the Fourth Proportional to 9,476.40, 14,207.95 and 4,208.57

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Solution

The fourth proportional to 9,476.40, 14,207.95 and 4,208.57 is: 6,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.40 : 14,207.95 = 4,208.57 : x
  2. Step 2: Convert to fraction form
    9,476.40/14,207.95 = 4,208.57/x
  3. Step 3: Cross multiply
    9,476.40x = 14,207.95 × 4,208.57
  4. Step 4: Simplify right side
    9,476.40x = 59,795,152.13
  5. Step 5: Solve for x
    x = 59,795,152.13/9,476.40
  6. Step 6: Final answer
    x = 6,309.90

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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.