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Finding the Fourth Proportional to 9,528.60, 14,288.76 and 7,338.90

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Solution

The fourth proportional to 9,528.60, 14,288.76 and 7,338.90 is: 11,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.60 : 14,288.76 = 7,338.90 : x
  2. Step 2: Convert to fraction form
    9,528.60/14,288.76 = 7,338.90/x
  3. Step 3: Cross multiply
    9,528.60x = 14,288.76 × 7,338.90
  4. Step 4: Simplify right side
    9,528.60x = 104,863,780.76
  5. Step 5: Solve for x
    x = 104,863,780.76/9,528.60
  6. Step 6: Final answer
    x = 11,005.16

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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.