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Finding the Fourth Proportional to 9,881.69, 14,822.56 and 4,038.30

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Solution

The fourth proportional to 9,881.69, 14,822.56 and 4,038.30 is: 6,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.69 : 14,822.56 = 4,038.30 : x
  2. Step 2: Convert to fraction form
    9,881.69/14,822.56 = 4,038.30/x
  3. Step 3: Cross multiply
    9,881.69x = 14,822.56 × 4,038.30
  4. Step 4: Simplify right side
    9,881.69x = 59,857,849.74
  5. Step 5: Solve for x
    x = 59,857,849.74/9,881.69
  6. Step 6: Final answer
    x = 6,057.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.