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Finding the Fourth Proportional to 9,783.27, 13,500.88 and 5,307.01

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Solution

The fourth proportional to 9,783.27, 13,500.88 and 5,307.01 is: 7,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.27 : 13,500.88 = 5,307.01 : x
  2. Step 2: Convert to fraction form
    9,783.27/13,500.88 = 5,307.01/x
  3. Step 3: Cross multiply
    9,783.27x = 13,500.88 × 5,307.01
  4. Step 4: Simplify right side
    9,783.27x = 71,649,258.15
  5. Step 5: Solve for x
    x = 71,649,258.15/9,783.27
  6. Step 6: Final answer
    x = 7,323.65

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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.