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Finding the Fourth Proportional to 9,881.04, 14,822.28 and 2,860.77

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Solution

The fourth proportional to 9,881.04, 14,822.28 and 2,860.77 is: 4,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.04 : 14,822.28 = 2,860.77 : x
  2. Step 2: Convert to fraction form
    9,881.04/14,822.28 = 2,860.77/x
  3. Step 3: Cross multiply
    9,881.04x = 14,822.28 × 2,860.77
  4. Step 4: Simplify right side
    9,881.04x = 42,403,133.96
  5. Step 5: Solve for x
    x = 42,403,133.96/9,881.04
  6. Step 6: Final answer
    x = 4,291.36

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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.