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Finding the Fourth Proportional to 10,228.95, 14,111.19 and 6,643.66

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Solution

The fourth proportional to 10,228.95, 14,111.19 and 6,643.66 is: 9,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.95 : 14,111.19 = 6,643.66 : x
  2. Step 2: Convert to fraction form
    10,228.95/14,111.19 = 6,643.66/x
  3. Step 3: Cross multiply
    10,228.95x = 14,111.19 × 6,643.66
  4. Step 4: Simplify right side
    10,228.95x = 93,749,913.28
  5. Step 5: Solve for x
    x = 93,749,913.28/10,228.95
  6. Step 6: Final answer
    x = 9,165.15

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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.