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Finding the Fourth Proportional to 9,776.32, 14,666.53 and 4,230.45

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Solution

The fourth proportional to 9,776.32, 14,666.53 and 4,230.45 is: 6,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.32 : 14,666.53 = 4,230.45 : x
  2. Step 2: Convert to fraction form
    9,776.32/14,666.53 = 4,230.45/x
  3. Step 3: Cross multiply
    9,776.32x = 14,666.53 × 4,230.45
  4. Step 4: Simplify right side
    9,776.32x = 62,046,021.84
  5. Step 5: Solve for x
    x = 62,046,021.84/9,776.32
  6. Step 6: Final answer
    x = 6,346.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.