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Finding the Fourth Proportional to 9,539.10, 14,275.38 and 7,283.76

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Solution

The fourth proportional to 9,539.10, 14,275.38 and 7,283.76 is: 10,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.10 : 14,275.38 = 7,283.76 : x
  2. Step 2: Convert to fraction form
    9,539.10/14,275.38 = 7,283.76/x
  3. Step 3: Cross multiply
    9,539.10x = 14,275.38 × 7,283.76
  4. Step 4: Simplify right side
    9,539.10x = 103,978,441.83
  5. Step 5: Solve for x
    x = 103,978,441.83/9,539.10
  6. Step 6: Final answer
    x = 10,900.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.