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Finding the Fourth Proportional to 9,210, 13,828.84 and 5,528.70

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Solution

The fourth proportional to 9,210, 13,828.84 and 5,528.70 is: 8,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,828.84 = 5,528.70 : x
  2. Step 2: Convert to fraction form
    9,210/13,828.84 = 5,528.70/x
  3. Step 3: Cross multiply
    9,210x = 13,828.84 × 5,528.70
  4. Step 4: Simplify right side
    9,210x = 76,455,507.71
  5. Step 5: Solve for x
    x = 76,455,507.71/9,210
  6. Step 6: Final answer
    x = 8,301.36

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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.