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Finding the Fourth Proportional to 9,887.30, 14,830.32 and 5,205.90

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Solution

The fourth proportional to 9,887.30, 14,830.32 and 5,205.90 is: 7,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.30 : 14,830.32 = 5,205.90 : x
  2. Step 2: Convert to fraction form
    9,887.30/14,830.32 = 5,205.90/x
  3. Step 3: Cross multiply
    9,887.30x = 14,830.32 × 5,205.90
  4. Step 4: Simplify right side
    9,887.30x = 77,205,162.89
  5. Step 5: Solve for x
    x = 77,205,162.89/9,887.30
  6. Step 6: Final answer
    x = 7,808.52

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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.