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Finding the Fourth Proportional to 9,908.07, 13,669.64 and 5,656.07

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Solution

The fourth proportional to 9,908.07, 13,669.64 and 5,656.07 is: 7,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.07 : 13,669.64 = 5,656.07 : x
  2. Step 2: Convert to fraction form
    9,908.07/13,669.64 = 5,656.07/x
  3. Step 3: Cross multiply
    9,908.07x = 13,669.64 × 5,656.07
  4. Step 4: Simplify right side
    9,908.07x = 77,316,440.71
  5. Step 5: Solve for x
    x = 77,316,440.71/9,908.07
  6. Step 6: Final answer
    x = 7,803.38

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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.