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Finding the Fourth Proportional to 9,948.70, 14,923.05 and 4,102.30

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Solution

The fourth proportional to 9,948.70, 14,923.05 and 4,102.30 is: 6,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.70 : 14,923.05 = 4,102.30 : x
  2. Step 2: Convert to fraction form
    9,948.70/14,923.05 = 4,102.30/x
  3. Step 3: Cross multiply
    9,948.70x = 14,923.05 × 4,102.30
  4. Step 4: Simplify right side
    9,948.70x = 61,218,828.02
  5. Step 5: Solve for x
    x = 61,218,828.02/9,948.70
  6. Step 6: Final answer
    x = 6,153.45

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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.