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Finding the Fourth Proportional to 9,484, 13,088 and 5,292.64

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Solution

The fourth proportional to 9,484, 13,088 and 5,292.64 is: 7,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484 : 13,088 = 5,292.64 : x
  2. Step 2: Convert to fraction form
    9,484/13,088 = 5,292.64/x
  3. Step 3: Cross multiply
    9,484x = 13,088 × 5,292.64
  4. Step 4: Simplify right side
    9,484x = 69,270,072.32
  5. Step 5: Solve for x
    x = 69,270,072.32/9,484
  6. Step 6: Final answer
    x = 7,303.89

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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.