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Finding the Fourth Proportional to 9,038.16, 12,472.73 and 5,263.53

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Solution

The fourth proportional to 9,038.16, 12,472.73 and 5,263.53 is: 7,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.16 : 12,472.73 = 5,263.53 : x
  2. Step 2: Convert to fraction form
    9,038.16/12,472.73 = 5,263.53/x
  3. Step 3: Cross multiply
    9,038.16x = 12,472.73 × 5,263.53
  4. Step 4: Simplify right side
    9,038.16x = 65,650,562.22
  5. Step 5: Solve for x
    x = 65,650,562.22/9,038.16
  6. Step 6: Final answer
    x = 7,263.71

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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.