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Finding the Fourth Proportional to 9,709.54, 14,539.60 and 6,417.70

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Solution

The fourth proportional to 9,709.54, 14,539.60 and 6,417.70 is: 9,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.54 : 14,539.60 = 6,417.70 : x
  2. Step 2: Convert to fraction form
    9,709.54/14,539.60 = 6,417.70/x
  3. Step 3: Cross multiply
    9,709.54x = 14,539.60 × 6,417.70
  4. Step 4: Simplify right side
    9,709.54x = 93,310,790.92
  5. Step 5: Solve for x
    x = 93,310,790.92/9,709.54
  6. Step 6: Final answer
    x = 9,610.22

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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.