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Finding the Fourth Proportional to 9,703.10, 14,529.90 and 6,406.13

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Solution

The fourth proportional to 9,703.10, 14,529.90 and 6,406.13 is: 9,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.10 : 14,529.90 = 6,406.13 : x
  2. Step 2: Convert to fraction form
    9,703.10/14,529.90 = 6,406.13/x
  3. Step 3: Cross multiply
    9,703.10x = 14,529.90 × 6,406.13
  4. Step 4: Simplify right side
    9,703.10x = 93,080,428.29
  5. Step 5: Solve for x
    x = 93,080,428.29/9,703.10
  6. Step 6: Final answer
    x = 9,592.85

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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.