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Finding the Fourth Proportional to 9,746.36, 13,451.57 and 7,245.08

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Solution

The fourth proportional to 9,746.36, 13,451.57 and 7,245.08 is: 9,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.36 : 13,451.57 = 7,245.08 : x
  2. Step 2: Convert to fraction form
    9,746.36/13,451.57 = 7,245.08/x
  3. Step 3: Cross multiply
    9,746.36x = 13,451.57 × 7,245.08
  4. Step 4: Simplify right side
    9,746.36x = 97,457,597.29
  5. Step 5: Solve for x
    x = 97,457,597.29/9,746.36
  6. Step 6: Final answer
    x = 9,999.39

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Why These Related Problems?

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