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Finding the Fourth Proportional to 9,637.72, 13,294.74 and 6,655.12

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Solution

The fourth proportional to 9,637.72, 13,294.74 and 6,655.12 is: 9,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.72 : 13,294.74 = 6,655.12 : x
  2. Step 2: Convert to fraction form
    9,637.72/13,294.74 = 6,655.12/x
  3. Step 3: Cross multiply
    9,637.72x = 13,294.74 × 6,655.12
  4. Step 4: Simplify right side
    9,637.72x = 88,478,090.07
  5. Step 5: Solve for x
    x = 88,478,090.07/9,637.72
  6. Step 6: Final answer
    x = 9,180.40

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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.