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Finding the Fourth Proportional to 9,988.41, 15,003.27 and 9,656.41

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Solution

The fourth proportional to 9,988.41, 15,003.27 and 9,656.41 is: 14,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.41 : 15,003.27 = 9,656.41 : x
  2. Step 2: Convert to fraction form
    9,988.41/15,003.27 = 9,656.41/x
  3. Step 3: Cross multiply
    9,988.41x = 15,003.27 × 9,656.41
  4. Step 4: Simplify right side
    9,988.41x = 144,877,678.18
  5. Step 5: Solve for x
    x = 144,877,678.18/9,988.41
  6. Step 6: Final answer
    x = 14,504.58

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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.