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Finding the Fourth Proportional to 9,574.40, 14,364.14 and 4,379.06

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Solution

The fourth proportional to 9,574.40, 14,364.14 and 4,379.06 is: 6,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.40 : 14,364.14 = 4,379.06 : x
  2. Step 2: Convert to fraction form
    9,574.40/14,364.14 = 4,379.06/x
  3. Step 3: Cross multiply
    9,574.40x = 14,364.14 × 4,379.06
  4. Step 4: Simplify right side
    9,574.40x = 62,901,444.92
  5. Step 5: Solve for x
    x = 62,901,444.92/9,574.40
  6. Step 6: Final answer
    x = 6,569.75

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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.