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Finding the Fourth Proportional to 9,776.12, 13,490.88 and 5,527.11

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Solution

The fourth proportional to 9,776.12, 13,490.88 and 5,527.11 is: 7,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.12 : 13,490.88 = 5,527.11 : x
  2. Step 2: Convert to fraction form
    9,776.12/13,490.88 = 5,527.11/x
  3. Step 3: Cross multiply
    9,776.12x = 13,490.88 × 5,527.11
  4. Step 4: Simplify right side
    9,776.12x = 74,565,577.76
  5. Step 5: Solve for x
    x = 74,565,577.76/9,776.12
  6. Step 6: Final answer
    x = 7,627.32

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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.