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Finding the Fourth Proportional to 9,984.50, 13,746.22 and 7,856.28

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Solution

The fourth proportional to 9,984.50, 13,746.22 and 7,856.28 is: 10,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.50 : 13,746.22 = 7,856.28 : x
  2. Step 2: Convert to fraction form
    9,984.50/13,746.22 = 7,856.28/x
  3. Step 3: Cross multiply
    9,984.50x = 13,746.22 × 7,856.28
  4. Step 4: Simplify right side
    9,984.50x = 107,994,153.26
  5. Step 5: Solve for x
    x = 107,994,153.26/9,984.50
  6. Step 6: Final answer
    x = 10,816.18

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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.