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Finding the Fourth Proportional to 9,705.10, 14,532.90 and 6,408.13

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Solution

The fourth proportional to 9,705.10, 14,532.90 and 6,408.13 is: 9,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.10 : 14,532.90 = 6,408.13 : x
  2. Step 2: Convert to fraction form
    9,705.10/14,532.90 = 6,408.13/x
  3. Step 3: Cross multiply
    9,705.10x = 14,532.90 × 6,408.13
  4. Step 4: Simplify right side
    9,705.10x = 93,128,712.48
  5. Step 5: Solve for x
    x = 93,128,712.48/9,705.10
  6. Step 6: Final answer
    x = 9,595.85

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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.