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Finding the Fourth Proportional to 9,712.54, 14,572.05 and 3,867.58

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Solution

The fourth proportional to 9,712.54, 14,572.05 and 3,867.58 is: 5,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.54 : 14,572.05 = 3,867.58 : x
  2. Step 2: Convert to fraction form
    9,712.54/14,572.05 = 3,867.58/x
  3. Step 3: Cross multiply
    9,712.54x = 14,572.05 × 3,867.58
  4. Step 4: Simplify right side
    9,712.54x = 56,358,569.14
  5. Step 5: Solve for x
    x = 56,358,569.14/9,712.54
  6. Step 6: Final answer
    x = 5,802.66

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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.