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Finding the Fourth Proportional to 9,983.40, 13,795.31 and 8,547.50

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Solution

The fourth proportional to 9,983.40, 13,795.31 and 8,547.50 is: 11,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.40 : 13,795.31 = 8,547.50 : x
  2. Step 2: Convert to fraction form
    9,983.40/13,795.31 = 8,547.50/x
  3. Step 3: Cross multiply
    9,983.40x = 13,795.31 × 8,547.50
  4. Step 4: Simplify right side
    9,983.40x = 117,915,399.16
  5. Step 5: Solve for x
    x = 117,915,399.16/9,983.40
  6. Step 6: Final answer
    x = 11,811.15

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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.