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Finding the Fourth Proportional to 9,488.71, 13,094.63 and 5,239.76

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Solution

The fourth proportional to 9,488.71, 13,094.63 and 5,239.76 is: 7,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.71 : 13,094.63 = 5,239.76 : x
  2. Step 2: Convert to fraction form
    9,488.71/13,094.63 = 5,239.76/x
  3. Step 3: Cross multiply
    9,488.71x = 13,094.63 × 5,239.76
  4. Step 4: Simplify right side
    9,488.71x = 68,612,646.47
  5. Step 5: Solve for x
    x = 68,612,646.47/9,488.71
  6. Step 6: Final answer
    x = 7,230.98

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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.