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Finding the Fourth Proportional to 8,490.88, 12,712.58 and 6,404.35

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Solution

The fourth proportional to 8,490.88, 12,712.58 and 6,404.35 is: 9,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.88 : 12,712.58 = 6,404.35 : x
  2. Step 2: Convert to fraction form
    8,490.88/12,712.58 = 6,404.35/x
  3. Step 3: Cross multiply
    8,490.88x = 12,712.58 × 6,404.35
  4. Step 4: Simplify right side
    8,490.88x = 81,415,811.72
  5. Step 5: Solve for x
    x = 81,415,811.72/8,490.88
  6. Step 6: Final answer
    x = 9,588.62

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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.