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Finding the Fourth Proportional to 9,484.38, 13,088.45 and 5,235.45

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Solution

The fourth proportional to 9,484.38, 13,088.45 and 5,235.45 is: 7,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.38 : 13,088.45 = 5,235.45 : x
  2. Step 2: Convert to fraction form
    9,484.38/13,088.45 = 5,235.45/x
  3. Step 3: Cross multiply
    9,484.38x = 13,088.45 × 5,235.45
  4. Step 4: Simplify right side
    9,484.38x = 68,523,860.11
  5. Step 5: Solve for x
    x = 68,523,860.11/9,484.38
  6. Step 6: Final answer
    x = 7,224.92

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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.