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Finding the Fourth Proportional to 9,828.84, 14,749.02 and 7,052.52

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Solution

The fourth proportional to 9,828.84, 14,749.02 and 7,052.52 is: 10,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.84 : 14,749.02 = 7,052.52 : x
  2. Step 2: Convert to fraction form
    9,828.84/14,749.02 = 7,052.52/x
  3. Step 3: Cross multiply
    9,828.84x = 14,749.02 × 7,052.52
  4. Step 4: Simplify right side
    9,828.84x = 104,017,758.53
  5. Step 5: Solve for x
    x = 104,017,758.53/9,828.84
  6. Step 6: Final answer
    x = 10,582.91

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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.