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Finding the Fourth Proportional to 9,303.31, 12,834.30 and 5,715.01

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Solution

The fourth proportional to 9,303.31, 12,834.30 and 5,715.01 is: 7,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.31 : 12,834.30 = 5,715.01 : x
  2. Step 2: Convert to fraction form
    9,303.31/12,834.30 = 5,715.01/x
  3. Step 3: Cross multiply
    9,303.31x = 12,834.30 × 5,715.01
  4. Step 4: Simplify right side
    9,303.31x = 73,348,152.84
  5. Step 5: Solve for x
    x = 73,348,152.84/9,303.31
  6. Step 6: Final answer
    x = 7,884.09

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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.