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Finding the Fourth Proportional to 9,587.58, 14,362.94 and 6,913.38

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Solution

The fourth proportional to 9,587.58, 14,362.94 and 6,913.38 is: 10,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.58 : 14,362.94 = 6,913.38 : x
  2. Step 2: Convert to fraction form
    9,587.58/14,362.94 = 6,913.38/x
  3. Step 3: Cross multiply
    9,587.58x = 14,362.94 × 6,913.38
  4. Step 4: Simplify right side
    9,587.58x = 99,296,462.14
  5. Step 5: Solve for x
    x = 99,296,462.14/9,587.58
  6. Step 6: Final answer
    x = 10,356.78

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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.