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Finding the Fourth Proportional to 9,269.40, 13,907.64 and 5,574.18

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Solution

The fourth proportional to 9,269.40, 13,907.64 and 5,574.18 is: 8,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.40 : 13,907.64 = 5,574.18 : x
  2. Step 2: Convert to fraction form
    9,269.40/13,907.64 = 5,574.18/x
  3. Step 3: Cross multiply
    9,269.40x = 13,907.64 × 5,574.18
  4. Step 4: Simplify right side
    9,269.40x = 77,523,688.74
  5. Step 5: Solve for x
    x = 77,523,688.74/9,269.40
  6. Step 6: Final answer
    x = 8,363.40

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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.