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Finding the Fourth Proportional to 9,275.51, 12,800.16 and 5,026.59

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Solution

The fourth proportional to 9,275.51, 12,800.16 and 5,026.59 is: 6,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.51 : 12,800.16 = 5,026.59 : x
  2. Step 2: Convert to fraction form
    9,275.51/12,800.16 = 5,026.59/x
  3. Step 3: Cross multiply
    9,275.51x = 12,800.16 × 5,026.59
  4. Step 4: Simplify right side
    9,275.51x = 64,341,092.25
  5. Step 5: Solve for x
    x = 64,341,092.25/9,275.51
  6. Step 6: Final answer
    x = 6,936.67

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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.