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Finding the Fourth Proportional to 9,645.40, 13,303.15 and 6,457.68

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Solution

The fourth proportional to 9,645.40, 13,303.15 and 6,457.68 is: 8,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.40 : 13,303.15 = 6,457.68 : x
  2. Step 2: Convert to fraction form
    9,645.40/13,303.15 = 6,457.68/x
  3. Step 3: Cross multiply
    9,645.40x = 13,303.15 × 6,457.68
  4. Step 4: Simplify right side
    9,645.40x = 85,907,519.43
  5. Step 5: Solve for x
    x = 85,907,519.43/9,645.40
  6. Step 6: Final answer
    x = 8,906.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.