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Finding the Fourth Proportional to 9,713.10, 14,544.93 and 6,416.13

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Solution

The fourth proportional to 9,713.10, 14,544.93 and 6,416.13 is: 9,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.10 : 14,544.93 = 6,416.13 : x
  2. Step 2: Convert to fraction form
    9,713.10/14,544.93 = 6,416.13/x
  3. Step 3: Cross multiply
    9,713.10x = 14,544.93 × 6,416.13
  4. Step 4: Simplify right side
    9,713.10x = 93,322,161.72
  5. Step 5: Solve for x
    x = 93,322,161.72/9,713.10
  6. Step 6: Final answer
    x = 9,607.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.