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Finding the Fourth Proportional to 9,422.59, 14,133.52 and 3,802.69

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Solution

The fourth proportional to 9,422.59, 14,133.52 and 3,802.69 is: 5,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.59 : 14,133.52 = 3,802.69 : x
  2. Step 2: Convert to fraction form
    9,422.59/14,133.52 = 3,802.69/x
  3. Step 3: Cross multiply
    9,422.59x = 14,133.52 × 3,802.69
  4. Step 4: Simplify right side
    9,422.59x = 53,745,395.17
  5. Step 5: Solve for x
    x = 53,745,395.17/9,422.59
  6. Step 6: Final answer
    x = 5,703.89

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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.