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Finding the Fourth Proportional to 9,830.90, 14,746.49 and 6,520.37

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Solution

The fourth proportional to 9,830.90, 14,746.49 and 6,520.37 is: 9,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.90 : 14,746.49 = 6,520.37 : x
  2. Step 2: Convert to fraction form
    9,830.90/14,746.49 = 6,520.37/x
  3. Step 3: Cross multiply
    9,830.90x = 14,746.49 × 6,520.37
  4. Step 4: Simplify right side
    9,830.90x = 96,152,489.12
  5. Step 5: Solve for x
    x = 96,152,489.12/9,830.90
  6. Step 6: Final answer
    x = 9,780.64

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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.