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Finding the Fourth Proportional to 9,264.40, 12,784.68 and 5,072.64

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Solution

The fourth proportional to 9,264.40, 12,784.68 and 5,072.64 is: 7,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.40 : 12,784.68 = 5,072.64 : x
  2. Step 2: Convert to fraction form
    9,264.40/12,784.68 = 5,072.64/x
  3. Step 3: Cross multiply
    9,264.40x = 12,784.68 × 5,072.64
  4. Step 4: Simplify right side
    9,264.40x = 64,852,079.16
  5. Step 5: Solve for x
    x = 64,852,079.16/9,264.40
  6. Step 6: Final answer
    x = 7,000.14

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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.