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Finding the Fourth Proportional to 9,528.60, 14,308.74 and 6,428.55

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Solution

The fourth proportional to 9,528.60, 14,308.74 and 6,428.55 is: 9,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.60 : 14,308.74 = 6,428.55 : x
  2. Step 2: Convert to fraction form
    9,528.60/14,308.74 = 6,428.55/x
  3. Step 3: Cross multiply
    9,528.60x = 14,308.74 × 6,428.55
  4. Step 4: Simplify right side
    9,528.60x = 91,984,450.53
  5. Step 5: Solve for x
    x = 91,984,450.53/9,528.60
  6. Step 6: Final answer
    x = 9,653.51

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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.