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Finding the Fourth Proportional to 10,465.84, 14,449.20 and 6,932.08

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Solution

The fourth proportional to 10,465.84, 14,449.20 and 6,932.08 is: 9,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.84 : 14,449.20 = 6,932.08 : x
  2. Step 2: Convert to fraction form
    10,465.84/14,449.20 = 6,932.08/x
  3. Step 3: Cross multiply
    10,465.84x = 14,449.20 × 6,932.08
  4. Step 4: Simplify right side
    10,465.84x = 100,163,010.34
  5. Step 5: Solve for x
    x = 100,163,010.34/10,465.84
  6. Step 6: Final answer
    x = 9,570.47

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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.