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Finding the Fourth Proportional to 9,825.58, 14,742.70 and 5,207.50

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Solution

The fourth proportional to 9,825.58, 14,742.70 and 5,207.50 is: 7,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.58 : 14,742.70 = 5,207.50 : x
  2. Step 2: Convert to fraction form
    9,825.58/14,742.70 = 5,207.50/x
  3. Step 3: Cross multiply
    9,825.58x = 14,742.70 × 5,207.50
  4. Step 4: Simplify right side
    9,825.58x = 76,772,610.25
  5. Step 5: Solve for x
    x = 76,772,610.25/9,825.58
  6. Step 6: Final answer
    x = 7,813.54

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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.