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Finding the Fourth Proportional to 9,916.96, 13,681.64 and 6,332.06

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Solution

The fourth proportional to 9,916.96, 13,681.64 and 6,332.06 is: 8,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.96 : 13,681.64 = 6,332.06 : x
  2. Step 2: Convert to fraction form
    9,916.96/13,681.64 = 6,332.06/x
  3. Step 3: Cross multiply
    9,916.96x = 13,681.64 × 6,332.06
  4. Step 4: Simplify right side
    9,916.96x = 86,632,965.38
  5. Step 5: Solve for x
    x = 86,632,965.38/9,916.96
  6. Step 6: Final answer
    x = 8,735.84

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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.