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Finding the Fourth Proportional to 9,397.88, 12,969.47 and 5,206.13

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Solution

The fourth proportional to 9,397.88, 12,969.47 and 5,206.13 is: 7,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.88 : 12,969.47 = 5,206.13 : x
  2. Step 2: Convert to fraction form
    9,397.88/12,969.47 = 5,206.13/x
  3. Step 3: Cross multiply
    9,397.88x = 12,969.47 × 5,206.13
  4. Step 4: Simplify right side
    9,397.88x = 67,520,695.02
  5. Step 5: Solve for x
    x = 67,520,695.02/9,397.88
  6. Step 6: Final answer
    x = 7,184.68

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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.