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Finding the Fourth Proportional to 9,881.82, 14,824.74 and 4,038.90

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Solution

The fourth proportional to 9,881.82, 14,824.74 and 4,038.90 is: 6,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.82 : 14,824.74 = 4,038.90 : x
  2. Step 2: Convert to fraction form
    9,881.82/14,824.74 = 4,038.90/x
  3. Step 3: Cross multiply
    9,881.82x = 14,824.74 × 4,038.90
  4. Step 4: Simplify right side
    9,881.82x = 59,875,642.39
  5. Step 5: Solve for x
    x = 59,875,642.39/9,881.82
  6. Step 6: Final answer
    x = 6,059.17

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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.