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Finding the Fourth Proportional to 9,885.84, 14,828.82 and 4,038.36

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Solution

The fourth proportional to 9,885.84, 14,828.82 and 4,038.36 is: 6,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 14,828.82 = 4,038.36 : x
  2. Step 2: Convert to fraction form
    9,885.84/14,828.82 = 4,038.36/x
  3. Step 3: Cross multiply
    9,885.84x = 14,828.82 × 4,038.36
  4. Step 4: Simplify right side
    9,885.84x = 59,884,113.54
  5. Step 5: Solve for x
    x = 59,884,113.54/9,885.84
  6. Step 6: Final answer
    x = 6,057.56

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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.