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Finding the Fourth Proportional to 9,359.50, 12,917.76 and 5,582.90

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Solution

The fourth proportional to 9,359.50, 12,917.76 and 5,582.90 is: 7,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.50 : 12,917.76 = 5,582.90 : x
  2. Step 2: Convert to fraction form
    9,359.50/12,917.76 = 5,582.90/x
  3. Step 3: Cross multiply
    9,359.50x = 12,917.76 × 5,582.90
  4. Step 4: Simplify right side
    9,359.50x = 72,118,562.30
  5. Step 5: Solve for x
    x = 72,118,562.30/9,359.50
  6. Step 6: Final answer
    x = 7,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.