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Finding the Fourth Proportional to 6,527.47, 9,788.29 and 2,084.32

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Solution

The fourth proportional to 6,527.47, 9,788.29 and 2,084.32 is: 3,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.47 : 9,788.29 = 2,084.32 : x
  2. Step 2: Convert to fraction form
    6,527.47/9,788.29 = 2,084.32/x
  3. Step 3: Cross multiply
    6,527.47x = 9,788.29 × 2,084.32
  4. Step 4: Simplify right side
    6,527.47x = 20,401,928.61
  5. Step 5: Solve for x
    x = 20,401,928.61/6,527.47
  6. Step 6: Final answer
    x = 3,125.55

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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.