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Finding the Fourth Proportional to 9,890.93, 14,836.35 and 4,047.54

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Solution

The fourth proportional to 9,890.93, 14,836.35 and 4,047.54 is: 6,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.93 : 14,836.35 = 4,047.54 : x
  2. Step 2: Convert to fraction form
    9,890.93/14,836.35 = 4,047.54/x
  3. Step 3: Cross multiply
    9,890.93x = 14,836.35 × 4,047.54
  4. Step 4: Simplify right side
    9,890.93x = 60,050,649.26
  5. Step 5: Solve for x
    x = 60,050,649.26/9,890.93
  6. Step 6: Final answer
    x = 6,071.29

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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.