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Finding the Fourth Proportional to 9,716.40, 14,551.74 and 6,421.32

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Solution

The fourth proportional to 9,716.40, 14,551.74 and 6,421.32 is: 9,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 14,551.74 = 6,421.32 : x
  2. Step 2: Convert to fraction form
    9,716.40/14,551.74 = 6,421.32/x
  3. Step 3: Cross multiply
    9,716.40x = 14,551.74 × 6,421.32
  4. Step 4: Simplify right side
    9,716.40x = 93,441,379.10
  5. Step 5: Solve for x
    x = 93,441,379.10/9,716.40
  6. Step 6: Final answer
    x = 9,616.87

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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.