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Finding the Fourth Proportional to 9,587.40, 14,279.81 and 9,160.84

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Solution

The fourth proportional to 9,587.40, 14,279.81 and 9,160.84 is: 13,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.40 : 14,279.81 = 9,160.84 : x
  2. Step 2: Convert to fraction form
    9,587.40/14,279.81 = 9,160.84/x
  3. Step 3: Cross multiply
    9,587.40x = 14,279.81 × 9,160.84
  4. Step 4: Simplify right side
    9,587.40x = 130,815,054.64
  5. Step 5: Solve for x
    x = 130,815,054.64/9,587.40
  6. Step 6: Final answer
    x = 13,644.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.