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Finding the Fourth Proportional to 9,585.63, 14,366.78 and 5,132.35

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Solution

The fourth proportional to 9,585.63, 14,366.78 and 5,132.35 is: 7,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.63 : 14,366.78 = 5,132.35 : x
  2. Step 2: Convert to fraction form
    9,585.63/14,366.78 = 5,132.35/x
  3. Step 3: Cross multiply
    9,585.63x = 14,366.78 × 5,132.35
  4. Step 4: Simplify right side
    9,585.63x = 73,735,320.25
  5. Step 5: Solve for x
    x = 73,735,320.25/9,585.63
  6. Step 6: Final answer
    x = 7,692.28

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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.