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Finding the Fourth Proportional to 10,422.84, 14,373.54 and 9,659.28

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Solution

The fourth proportional to 10,422.84, 14,373.54 and 9,659.28 is: 13,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.84 : 14,373.54 = 9,659.28 : x
  2. Step 2: Convert to fraction form
    10,422.84/14,373.54 = 9,659.28/x
  3. Step 3: Cross multiply
    10,422.84x = 14,373.54 × 9,659.28
  4. Step 4: Simplify right side
    10,422.84x = 138,838,047.45
  5. Step 5: Solve for x
    x = 138,838,047.45/10,422.84
  6. Step 6: Final answer
    x = 13,320.56

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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.