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Finding the Fourth Proportional to 9,671.54, 14,509.53 and 3,097.71

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Solution

The fourth proportional to 9,671.54, 14,509.53 and 3,097.71 is: 4,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.54 : 14,509.53 = 3,097.71 : x
  2. Step 2: Convert to fraction form
    9,671.54/14,509.53 = 3,097.71/x
  3. Step 3: Cross multiply
    9,671.54x = 14,509.53 × 3,097.71
  4. Step 4: Simplify right side
    9,671.54x = 44,946,316.18
  5. Step 5: Solve for x
    x = 44,946,316.18/9,671.54
  6. Step 6: Final answer
    x = 4,647.28

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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.