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Finding the Fourth Proportional to 9,938.53, 13,715.54 and 5,462.45

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Solution

The fourth proportional to 9,938.53, 13,715.54 and 5,462.45 is: 7,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.53 : 13,715.54 = 5,462.45 : x
  2. Step 2: Convert to fraction form
    9,938.53/13,715.54 = 5,462.45/x
  3. Step 3: Cross multiply
    9,938.53x = 13,715.54 × 5,462.45
  4. Step 4: Simplify right side
    9,938.53x = 74,920,451.47
  5. Step 5: Solve for x
    x = 74,920,451.47/9,938.53
  6. Step 6: Final answer
    x = 7,538.38

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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.