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Finding the Fourth Proportional to 9,659.46, 14,402.67 and 9,484.50

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Solution

The fourth proportional to 9,659.46, 14,402.67 and 9,484.50 is: 14,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.46 : 14,402.67 = 9,484.50 : x
  2. Step 2: Convert to fraction form
    9,659.46/14,402.67 = 9,484.50/x
  3. Step 3: Cross multiply
    9,659.46x = 14,402.67 × 9,484.50
  4. Step 4: Simplify right side
    9,659.46x = 136,602,123.62
  5. Step 5: Solve for x
    x = 136,602,123.62/9,659.46
  6. Step 6: Final answer
    x = 14,141.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.