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Finding the Fourth Proportional to 9,047.83, 13,570.08 and 3,124.71

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Solution

The fourth proportional to 9,047.83, 13,570.08 and 3,124.71 is: 4,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.83 : 13,570.08 = 3,124.71 : x
  2. Step 2: Convert to fraction form
    9,047.83/13,570.08 = 3,124.71/x
  3. Step 3: Cross multiply
    9,047.83x = 13,570.08 × 3,124.71
  4. Step 4: Simplify right side
    9,047.83x = 42,402,564.68
  5. Step 5: Solve for x
    x = 42,402,564.68/9,047.83
  6. Step 6: Final answer
    x = 4,686.49

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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.