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Finding the Fourth Proportional to 9,459.39, 14,197.85 and 4,782.71

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Solution

The fourth proportional to 9,459.39, 14,197.85 and 4,782.71 is: 7,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.39 : 14,197.85 = 4,782.71 : x
  2. Step 2: Convert to fraction form
    9,459.39/14,197.85 = 4,782.71/x
  3. Step 3: Cross multiply
    9,459.39x = 14,197.85 × 4,782.71
  4. Step 4: Simplify right side
    9,459.39x = 67,904,199.17
  5. Step 5: Solve for x
    x = 67,904,199.17/9,459.39
  6. Step 6: Final answer
    x = 7,178.50

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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.