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Finding the Fourth Proportional to 9,985.01, 14,977.58 and 4,775.09

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Solution

The fourth proportional to 9,985.01, 14,977.58 and 4,775.09 is: 7,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.01 : 14,977.58 = 4,775.09 : x
  2. Step 2: Convert to fraction form
    9,985.01/14,977.58 = 4,775.09/x
  3. Step 3: Cross multiply
    9,985.01x = 14,977.58 × 4,775.09
  4. Step 4: Simplify right side
    9,985.01x = 71,519,193.72
  5. Step 5: Solve for x
    x = 71,519,193.72/9,985.01
  6. Step 6: Final answer
    x = 7,162.66

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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.