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Finding the Fourth Proportional to 9,881.12, 14,809.28 and 9,776.96

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Solution

The fourth proportional to 9,881.12, 14,809.28 and 9,776.96 is: 14,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.12 : 14,809.28 = 9,776.96 : x
  2. Step 2: Convert to fraction form
    9,881.12/14,809.28 = 9,776.96/x
  3. Step 3: Cross multiply
    9,881.12x = 14,809.28 × 9,776.96
  4. Step 4: Simplify right side
    9,881.12x = 144,789,738.19
  5. Step 5: Solve for x
    x = 144,789,738.19/9,881.12
  6. Step 6: Final answer
    x = 14,653.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.