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Finding the Fourth Proportional to 9,564.77, 14,348.77 and 2,989.66

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Solution

The fourth proportional to 9,564.77, 14,348.77 and 2,989.66 is: 4,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.77 : 14,348.77 = 2,989.66 : x
  2. Step 2: Convert to fraction form
    9,564.77/14,348.77 = 2,989.66/x
  3. Step 3: Cross multiply
    9,564.77x = 14,348.77 × 2,989.66
  4. Step 4: Simplify right side
    9,564.77x = 42,897,943.72
  5. Step 5: Solve for x
    x = 42,897,943.72/9,564.77
  6. Step 6: Final answer
    x = 4,484.99

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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.