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Finding the Fourth Proportional to 10,284.94, 15,433.55 and 9,448.40

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Solution

The fourth proportional to 10,284.94, 15,433.55 and 9,448.40 is: 14,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.94 : 15,433.55 = 9,448.40 : x
  2. Step 2: Convert to fraction form
    10,284.94/15,433.55 = 9,448.40/x
  3. Step 3: Cross multiply
    10,284.94x = 15,433.55 × 9,448.40
  4. Step 4: Simplify right side
    10,284.94x = 145,822,353.82
  5. Step 5: Solve for x
    x = 145,822,353.82/10,284.94
  6. Step 6: Final answer
    x = 14,178.24

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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.