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Finding the Fourth Proportional to 9,776.46, 13,499.29 and 9,030.15

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Solution

The fourth proportional to 9,776.46, 13,499.29 and 9,030.15 is: 12,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.46 : 13,499.29 = 9,030.15 : x
  2. Step 2: Convert to fraction form
    9,776.46/13,499.29 = 9,030.15/x
  3. Step 3: Cross multiply
    9,776.46x = 13,499.29 × 9,030.15
  4. Step 4: Simplify right side
    9,776.46x = 121,900,613.59
  5. Step 5: Solve for x
    x = 121,900,613.59/9,776.46
  6. Step 6: Final answer
    x = 12,468.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.