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Finding the Fourth Proportional to 9,709.04, 14,549.46 and 5,262.94

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Solution

The fourth proportional to 9,709.04, 14,549.46 and 5,262.94 is: 7,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.04 : 14,549.46 = 5,262.94 : x
  2. Step 2: Convert to fraction form
    9,709.04/14,549.46 = 5,262.94/x
  3. Step 3: Cross multiply
    9,709.04x = 14,549.46 × 5,262.94
  4. Step 4: Simplify right side
    9,709.04x = 76,572,935.01
  5. Step 5: Solve for x
    x = 76,572,935.01/9,709.04
  6. Step 6: Final answer
    x = 7,886.77

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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.