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Finding the Fourth Proportional to 6,345.09, 9,528.53 and 3,894.30

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Solution

The fourth proportional to 6,345.09, 9,528.53 and 3,894.30 is: 5,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.09 : 9,528.53 = 3,894.30 : x
  2. Step 2: Convert to fraction form
    6,345.09/9,528.53 = 3,894.30/x
  3. Step 3: Cross multiply
    6,345.09x = 9,528.53 × 3,894.30
  4. Step 4: Simplify right side
    6,345.09x = 37,106,954.38
  5. Step 5: Solve for x
    x = 37,106,954.38/6,345.09
  6. Step 6: Final answer
    x = 5,848.14

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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.