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Finding the Fourth Proportional to 9,429.40, 14,111.70 and 9,429.40

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Solution

The fourth proportional to 9,429.40, 14,111.70 and 9,429.40 is: 14,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.40 : 14,111.70 = 9,429.40 : x
  2. Step 2: Convert to fraction form
    9,429.40/14,111.70 = 9,429.40/x
  3. Step 3: Cross multiply
    9,429.40x = 14,111.70 × 9,429.40
  4. Step 4: Simplify right side
    9,429.40x = 133,064,863.98
  5. Step 5: Solve for x
    x = 133,064,863.98/9,429.40
  6. Step 6: Final answer
    x = 14,111.70

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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.