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Finding the Fourth Proportional to 9,332.00, 13,998 and 6,401.42

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Solution

The fourth proportional to 9,332.00, 13,998 and 6,401.42 is: 9,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.00 : 13,998 = 6,401.42 : x
  2. Step 2: Convert to fraction form
    9,332.00/13,998 = 6,401.42/x
  3. Step 3: Cross multiply
    9,332.00x = 13,998 × 6,401.42
  4. Step 4: Simplify right side
    9,332.00x = 89,607,007.17
  5. Step 5: Solve for x
    x = 89,607,007.17/9,332.00
  6. Step 6: Final answer
    x = 9,602.13

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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.