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Finding the Fourth Proportional to 9,579.06, 14,363.10 and 5,686.20

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Solution

The fourth proportional to 9,579.06, 14,363.10 and 5,686.20 is: 8,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.06 : 14,363.10 = 5,686.20 : x
  2. Step 2: Convert to fraction form
    9,579.06/14,363.10 = 5,686.20/x
  3. Step 3: Cross multiply
    9,579.06x = 14,363.10 × 5,686.20
  4. Step 4: Simplify right side
    9,579.06x = 81,671,459.22
  5. Step 5: Solve for x
    x = 81,671,459.22/9,579.06
  6. Step 6: Final answer
    x = 8,526.04

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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.