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Finding the Fourth Proportional to 9,751.94, 13,457.64 and 5,275.70

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Solution

The fourth proportional to 9,751.94, 13,457.64 and 5,275.70 is: 7,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.94 : 13,457.64 = 5,275.70 : x
  2. Step 2: Convert to fraction form
    9,751.94/13,457.64 = 5,275.70/x
  3. Step 3: Cross multiply
    9,751.94x = 13,457.64 × 5,275.70
  4. Step 4: Simplify right side
    9,751.94x = 70,998,471.35
  5. Step 5: Solve for x
    x = 70,998,471.35/9,751.94
  6. Step 6: Final answer
    x = 7,280.45

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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.