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Finding the Fourth Proportional to 9,890.10, 14,822.19 and 4,040.01

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Solution

The fourth proportional to 9,890.10, 14,822.19 and 4,040.01 is: 6,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.10 : 14,822.19 = 4,040.01 : x
  2. Step 2: Convert to fraction form
    9,890.10/14,822.19 = 4,040.01/x
  3. Step 3: Cross multiply
    9,890.10x = 14,822.19 × 4,040.01
  4. Step 4: Simplify right side
    9,890.10x = 59,881,795.82
  5. Step 5: Solve for x
    x = 59,881,795.82/9,890.10
  6. Step 6: Final answer
    x = 6,054.72

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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.