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Finding the Fourth Proportional to 9,938.77, 13,715.33 and 5,462.51

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Solution

The fourth proportional to 9,938.77, 13,715.33 and 5,462.51 is: 7,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.77 : 13,715.33 = 5,462.51 : x
  2. Step 2: Convert to fraction form
    9,938.77/13,715.33 = 5,462.51/x
  3. Step 3: Cross multiply
    9,938.77x = 13,715.33 × 5,462.51
  4. Step 4: Simplify right side
    9,938.77x = 74,920,031.39
  5. Step 5: Solve for x
    x = 74,920,031.39/9,938.77
  6. Step 6: Final answer
    x = 7,538.16

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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.