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Finding the Fourth Proportional to 9,895.50, 14,842.32 and 2,877.36

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Solution

The fourth proportional to 9,895.50, 14,842.32 and 2,877.36 is: 4,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.50 : 14,842.32 = 2,877.36 : x
  2. Step 2: Convert to fraction form
    9,895.50/14,842.32 = 2,877.36/x
  3. Step 3: Cross multiply
    9,895.50x = 14,842.32 × 2,877.36
  4. Step 4: Simplify right side
    9,895.50x = 42,706,697.88
  5. Step 5: Solve for x
    x = 42,706,697.88/9,895.50
  6. Step 6: Final answer
    x = 4,315.77

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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.