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Finding the Fourth Proportional to 10,617.10, 14,612.92 and 9,349.86

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Solution

The fourth proportional to 10,617.10, 14,612.92 and 9,349.86 is: 12,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.10 : 14,612.92 = 9,349.86 : x
  2. Step 2: Convert to fraction form
    10,617.10/14,612.92 = 9,349.86/x
  3. Step 3: Cross multiply
    10,617.10x = 14,612.92 × 9,349.86
  4. Step 4: Simplify right side
    10,617.10x = 136,628,756.19
  5. Step 5: Solve for x
    x = 136,628,756.19/10,617.10
  6. Step 6: Final answer
    x = 12,868.75

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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.