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Finding the Fourth Proportional to 9,901.36, 14,854.34 and 2,881.54

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Solution

The fourth proportional to 9,901.36, 14,854.34 and 2,881.54 is: 4,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.36 : 14,854.34 = 2,881.54 : x
  2. Step 2: Convert to fraction form
    9,901.36/14,854.34 = 2,881.54/x
  3. Step 3: Cross multiply
    9,901.36x = 14,854.34 × 2,881.54
  4. Step 4: Simplify right side
    9,901.36x = 42,803,374.88
  5. Step 5: Solve for x
    x = 42,803,374.88/9,901.36
  6. Step 6: Final answer
    x = 4,322.98

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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.