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Finding the Fourth Proportional to 9,938.76, 13,715.78 and 5,462.64

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Solution

The fourth proportional to 9,938.76, 13,715.78 and 5,462.64 is: 7,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.76 : 13,715.78 = 5,462.64 : x
  2. Step 2: Convert to fraction form
    9,938.76/13,715.78 = 5,462.64/x
  3. Step 3: Cross multiply
    9,938.76x = 13,715.78 × 5,462.64
  4. Step 4: Simplify right side
    9,938.76x = 74,924,368.46
  5. Step 5: Solve for x
    x = 74,924,368.46/9,938.76
  6. Step 6: Final answer
    x = 7,538.60

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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.