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Finding the Fourth Proportional to 9,615.15, 13,264.17 and 7,486.89

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Solution

The fourth proportional to 9,615.15, 13,264.17 and 7,486.89 is: 10,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.15 : 13,264.17 = 7,486.89 : x
  2. Step 2: Convert to fraction form
    9,615.15/13,264.17 = 7,486.89/x
  3. Step 3: Cross multiply
    9,615.15x = 13,264.17 × 7,486.89
  4. Step 4: Simplify right side
    9,615.15x = 99,307,381.73
  5. Step 5: Solve for x
    x = 99,307,381.73/9,615.15
  6. Step 6: Final answer
    x = 10,328.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.