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Finding the Fourth Proportional to 9,733.90, 13,438.86 and 7,725.52

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Solution

The fourth proportional to 9,733.90, 13,438.86 and 7,725.52 is: 10,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.90 : 13,438.86 = 7,725.52 : x
  2. Step 2: Convert to fraction form
    9,733.90/13,438.86 = 7,725.52/x
  3. Step 3: Cross multiply
    9,733.90x = 13,438.86 × 7,725.52
  4. Step 4: Simplify right side
    9,733.90x = 103,822,181.71
  5. Step 5: Solve for x
    x = 103,822,181.71/9,733.90
  6. Step 6: Final answer
    x = 10,666.04

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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.