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Finding the Fourth Proportional to 9,142.79, 12,612.95 and 6,457.94

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Solution

The fourth proportional to 9,142.79, 12,612.95 and 6,457.94 is: 8,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.79 : 12,612.95 = 6,457.94 : x
  2. Step 2: Convert to fraction form
    9,142.79/12,612.95 = 6,457.94/x
  3. Step 3: Cross multiply
    9,142.79x = 12,612.95 × 6,457.94
  4. Step 4: Simplify right side
    9,142.79x = 81,453,650.48
  5. Step 5: Solve for x
    x = 81,453,650.48/9,142.79
  6. Step 6: Final answer
    x = 8,909.06

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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.