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Finding the Fourth Proportional to 9,539.48, 13,165.80 and 5,348

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Solution

The fourth proportional to 9,539.48, 13,165.80 and 5,348 is: 7,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.48 : 13,165.80 = 5,348 : x
  2. Step 2: Convert to fraction form
    9,539.48/13,165.80 = 5,348/x
  3. Step 3: Cross multiply
    9,539.48x = 13,165.80 × 5,348
  4. Step 4: Simplify right side
    9,539.48x = 70,410,698.40
  5. Step 5: Solve for x
    x = 70,410,698.40/9,539.48
  6. Step 6: Final answer
    x = 7,380.98

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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.