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Finding the Fourth Proportional to 9,352.71, 14,030.67 and 3,809.88

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Solution

The fourth proportional to 9,352.71, 14,030.67 and 3,809.88 is: 5,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.71 : 14,030.67 = 3,809.88 : x
  2. Step 2: Convert to fraction form
    9,352.71/14,030.67 = 3,809.88/x
  3. Step 3: Cross multiply
    9,352.71x = 14,030.67 × 3,809.88
  4. Step 4: Simplify right side
    9,352.71x = 53,455,169.02
  5. Step 5: Solve for x
    x = 53,455,169.02/9,352.71
  6. Step 6: Final answer
    x = 5,715.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.