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Finding the Fourth Proportional to 9,862.58, 14,780.90 and 4,669.94

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Solution

The fourth proportional to 9,862.58, 14,780.90 and 4,669.94 is: 6,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.58 : 14,780.90 = 4,669.94 : x
  2. Step 2: Convert to fraction form
    9,862.58/14,780.90 = 4,669.94/x
  3. Step 3: Cross multiply
    9,862.58x = 14,780.90 × 4,669.94
  4. Step 4: Simplify right side
    9,862.58x = 69,025,818.89
  5. Step 5: Solve for x
    x = 69,025,818.89/9,862.58
  6. Step 6: Final answer
    x = 6,998.76

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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.