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Finding the Fourth Proportional to 9,602.98, 13,250.91 and 5,353

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Solution

The fourth proportional to 9,602.98, 13,250.91 and 5,353 is: 7,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.98 : 13,250.91 = 5,353 : x
  2. Step 2: Convert to fraction form
    9,602.98/13,250.91 = 5,353/x
  3. Step 3: Cross multiply
    9,602.98x = 13,250.91 × 5,353
  4. Step 4: Simplify right side
    9,602.98x = 70,932,121.23
  5. Step 5: Solve for x
    x = 70,932,121.23/9,602.98
  6. Step 6: Final answer
    x = 7,386.47

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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.