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Finding the Fourth Proportional to 9,585.84, 14,382.42 and 3,746.52

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Solution

The fourth proportional to 9,585.84, 14,382.42 and 3,746.52 is: 5,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.84 : 14,382.42 = 3,746.52 : x
  2. Step 2: Convert to fraction form
    9,585.84/14,382.42 = 3,746.52/x
  3. Step 3: Cross multiply
    9,585.84x = 14,382.42 × 3,746.52
  4. Step 4: Simplify right side
    9,585.84x = 53,884,024.18
  5. Step 5: Solve for x
    x = 53,884,024.18/9,585.84
  6. Step 6: Final answer
    x = 5,621.21

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Why These Related Problems?

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