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Finding the Fourth Proportional to 9,534.70, 14,306.10 and 4,601.80

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Solution

The fourth proportional to 9,534.70, 14,306.10 and 4,601.80 is: 6,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.70 : 14,306.10 = 4,601.80 : x
  2. Step 2: Convert to fraction form
    9,534.70/14,306.10 = 4,601.80/x
  3. Step 3: Cross multiply
    9,534.70x = 14,306.10 × 4,601.80
  4. Step 4: Simplify right side
    9,534.70x = 65,833,810.98
  5. Step 5: Solve for x
    x = 65,833,810.98/9,534.70
  6. Step 6: Final answer
    x = 6,904.65

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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.