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Finding the Fourth Proportional to 9,346.91, 12,897.25 and 5,569.98

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Solution

The fourth proportional to 9,346.91, 12,897.25 and 5,569.98 is: 7,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.91 : 12,897.25 = 5,569.98 : x
  2. Step 2: Convert to fraction form
    9,346.91/12,897.25 = 5,569.98/x
  3. Step 3: Cross multiply
    9,346.91x = 12,897.25 × 5,569.98
  4. Step 4: Simplify right side
    9,346.91x = 71,837,332.22
  5. Step 5: Solve for x
    x = 71,837,332.22/9,346.91
  6. Step 6: Final answer
    x = 7,685.68

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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.