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Finding the Fourth Proportional to 9,833.16, 13,583.52 and 6,847.50

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Solution

The fourth proportional to 9,833.16, 13,583.52 and 6,847.50 is: 9,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.16 : 13,583.52 = 6,847.50 : x
  2. Step 2: Convert to fraction form
    9,833.16/13,583.52 = 6,847.50/x
  3. Step 3: Cross multiply
    9,833.16x = 13,583.52 × 6,847.50
  4. Step 4: Simplify right side
    9,833.16x = 93,013,153.20
  5. Step 5: Solve for x
    x = 93,013,153.20/9,833.16
  6. Step 6: Final answer
    x = 9,459.13

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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.