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Finding the Fourth Proportional to 9,751.32, 13,457.70 and 5,560.92

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Solution

The fourth proportional to 9,751.32, 13,457.70 and 5,560.92 is: 7,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.32 : 13,457.70 = 5,560.92 : x
  2. Step 2: Convert to fraction form
    9,751.32/13,457.70 = 5,560.92/x
  3. Step 3: Cross multiply
    9,751.32x = 13,457.70 × 5,560.92
  4. Step 4: Simplify right side
    9,751.32x = 74,837,193.08
  5. Step 5: Solve for x
    x = 74,837,193.08/9,751.32
  6. Step 6: Final answer
    x = 7,674.57

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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.