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Finding the Fourth Proportional to 9,397.44, 12,968.76 and 5,206.08

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Solution

The fourth proportional to 9,397.44, 12,968.76 and 5,206.08 is: 7,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.44 : 12,968.76 = 5,206.08 : x
  2. Step 2: Convert to fraction form
    9,397.44/12,968.76 = 5,206.08/x
  3. Step 3: Cross multiply
    9,397.44x = 12,968.76 × 5,206.08
  4. Step 4: Simplify right side
    9,397.44x = 67,516,402.06
  5. Step 5: Solve for x
    x = 67,516,402.06/9,397.44
  6. Step 6: Final answer
    x = 7,184.55

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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.