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Finding the Fourth Proportional to 9,774.47, 13,488.70 and 5,298.21

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Solution

The fourth proportional to 9,774.47, 13,488.70 and 5,298.21 is: 7,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.47 : 13,488.70 = 5,298.21 : x
  2. Step 2: Convert to fraction form
    9,774.47/13,488.70 = 5,298.21/x
  3. Step 3: Cross multiply
    9,774.47x = 13,488.70 × 5,298.21
  4. Step 4: Simplify right side
    9,774.47x = 71,465,951.98
  5. Step 5: Solve for x
    x = 71,465,951.98/9,774.47
  6. Step 6: Final answer
    x = 7,311.50

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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.