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Finding the Fourth Proportional to 9,887.40, 14,828.76 and 2,865.56

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Solution

The fourth proportional to 9,887.40, 14,828.76 and 2,865.56 is: 4,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.40 : 14,828.76 = 2,865.56 : x
  2. Step 2: Convert to fraction form
    9,887.40/14,828.76 = 2,865.56/x
  3. Step 3: Cross multiply
    9,887.40x = 14,828.76 × 2,865.56
  4. Step 4: Simplify right side
    9,887.40x = 42,492,627.36
  5. Step 5: Solve for x
    x = 42,492,627.36/9,887.40
  6. Step 6: Final answer
    x = 4,297.65

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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.