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Finding the Fourth Proportional to 9,751.89, 13,457.59 and 5,275.64

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Solution

The fourth proportional to 9,751.89, 13,457.59 and 5,275.64 is: 7,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.89 : 13,457.59 = 5,275.64 : x
  2. Step 2: Convert to fraction form
    9,751.89/13,457.59 = 5,275.64/x
  3. Step 3: Cross multiply
    9,751.89x = 13,457.59 × 5,275.64
  4. Step 4: Simplify right side
    9,751.89x = 70,997,412.39
  5. Step 5: Solve for x
    x = 70,997,412.39/9,751.89
  6. Step 6: Final answer
    x = 7,280.37

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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.