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Finding the Fourth Proportional to 9,782.57, 13,498.65 and 5,534.21

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Solution

The fourth proportional to 9,782.57, 13,498.65 and 5,534.21 is: 7,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.57 : 13,498.65 = 5,534.21 : x
  2. Step 2: Convert to fraction form
    9,782.57/13,498.65 = 5,534.21/x
  3. Step 3: Cross multiply
    9,782.57x = 13,498.65 × 5,534.21
  4. Step 4: Simplify right side
    9,782.57x = 74,704,363.82
  5. Step 5: Solve for x
    x = 74,704,363.82/9,782.57
  6. Step 6: Final answer
    x = 7,636.48

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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.