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Finding the Fourth Proportional to 9,157.65, 13,726.88 and 4,230.52

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Solution

The fourth proportional to 9,157.65, 13,726.88 and 4,230.52 is: 6,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.65 : 13,726.88 = 4,230.52 : x
  2. Step 2: Convert to fraction form
    9,157.65/13,726.88 = 4,230.52/x
  3. Step 3: Cross multiply
    9,157.65x = 13,726.88 × 4,230.52
  4. Step 4: Simplify right side
    9,157.65x = 58,071,800.77
  5. Step 5: Solve for x
    x = 58,071,800.77/9,157.65
  6. Step 6: Final answer
    x = 6,341.35

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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.