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Finding the Fourth Proportional to 9,574.68, 14,370.72 and 4,897.92

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Solution

The fourth proportional to 9,574.68, 14,370.72 and 4,897.92 is: 7,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.68 : 14,370.72 = 4,897.92 : x
  2. Step 2: Convert to fraction form
    9,574.68/14,370.72 = 4,897.92/x
  3. Step 3: Cross multiply
    9,574.68x = 14,370.72 × 4,897.92
  4. Step 4: Simplify right side
    9,574.68x = 70,386,591.59
  5. Step 5: Solve for x
    x = 70,386,591.59/9,574.68
  6. Step 6: Final answer
    x = 7,351.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.