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Finding the Fourth Proportional to 9,872.93, 14,809.02 and 2,477.45

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Solution

The fourth proportional to 9,872.93, 14,809.02 and 2,477.45 is: 3,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.93 : 14,809.02 = 2,477.45 : x
  2. Step 2: Convert to fraction form
    9,872.93/14,809.02 = 2,477.45/x
  3. Step 3: Cross multiply
    9,872.93x = 14,809.02 × 2,477.45
  4. Step 4: Simplify right side
    9,872.93x = 36,688,606.60
  5. Step 5: Solve for x
    x = 36,688,606.60/9,872.93
  6. Step 6: Final answer
    x = 3,716.08

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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.