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Finding the Fourth Proportional to 10,428.88, 14,390.16 and 6,645.40

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Solution

The fourth proportional to 10,428.88, 14,390.16 and 6,645.40 is: 9,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.88 : 14,390.16 = 6,645.40 : x
  2. Step 2: Convert to fraction form
    10,428.88/14,390.16 = 6,645.40/x
  3. Step 3: Cross multiply
    10,428.88x = 14,390.16 × 6,645.40
  4. Step 4: Simplify right side
    10,428.88x = 95,628,369.26
  5. Step 5: Solve for x
    x = 95,628,369.26/10,428.88
  6. Step 6: Final answer
    x = 9,169.57

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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.