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Finding the Fourth Proportional to 9,312.64, 12,839.52 and 7,627.84

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Solution

The fourth proportional to 9,312.64, 12,839.52 and 7,627.84 is: 10,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.64 : 12,839.52 = 7,627.84 : x
  2. Step 2: Convert to fraction form
    9,312.64/12,839.52 = 7,627.84/x
  3. Step 3: Cross multiply
    9,312.64x = 12,839.52 × 7,627.84
  4. Step 4: Simplify right side
    9,312.64x = 97,937,804.24
  5. Step 5: Solve for x
    x = 97,937,804.24/9,312.64
  6. Step 6: Final answer
    x = 10,516.65

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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.