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Finding the Fourth Proportional to 9,645.83, 14,469.80 and 3,070.47

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Solution

The fourth proportional to 9,645.83, 14,469.80 and 3,070.47 is: 4,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.83 : 14,469.80 = 3,070.47 : x
  2. Step 2: Convert to fraction form
    9,645.83/14,469.80 = 3,070.47/x
  3. Step 3: Cross multiply
    9,645.83x = 14,469.80 × 3,070.47
  4. Step 4: Simplify right side
    9,645.83x = 44,429,071.45
  5. Step 5: Solve for x
    x = 44,429,071.45/9,645.83
  6. Step 6: Final answer
    x = 4,606.04

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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.