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Finding the Fourth Proportional to 6,169,784.70, 8,514,297.50 and 3,416,471.98

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Solution

The fourth proportional to 6,169,784.70, 8,514,297.50 and 3,416,471.98 is: 4,714,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,784.70 : 8,514,297.50 = 3,416,471.98 : x
  2. Step 2: Convert to fraction form
    6,169,784.70/8,514,297.50 = 3,416,471.98/x
  3. Step 3: Cross multiply
    6,169,784.70x = 8,514,297.50 × 3,416,471.98
  4. Step 4: Simplify right side
    6,169,784.70x = 29,088,858,838,134.05
  5. Step 5: Solve for x
    x = 29,088,858,838,134.05/6,169,784.70
  6. Step 6: Final answer
    x = 4,714,728.35

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