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Finding the Fourth Proportional to 9,771.95, 14,657.80 and 2,376.39

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Solution

The fourth proportional to 9,771.95, 14,657.80 and 2,376.39 is: 3,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.95 : 14,657.80 = 2,376.39 : x
  2. Step 2: Convert to fraction form
    9,771.95/14,657.80 = 2,376.39/x
  3. Step 3: Cross multiply
    9,771.95x = 14,657.80 × 2,376.39
  4. Step 4: Simplify right side
    9,771.95x = 34,832,649.34
  5. Step 5: Solve for x
    x = 34,832,649.34/9,771.95
  6. Step 6: Final answer
    x = 3,564.55

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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.