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Finding the Fourth Proportional to 9,287.58, 13,931.40 and 2,362.08

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Solution

The fourth proportional to 9,287.58, 13,931.40 and 2,362.08 is: 3,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.58 : 13,931.40 = 2,362.08 : x
  2. Step 2: Convert to fraction form
    9,287.58/13,931.40 = 2,362.08/x
  3. Step 3: Cross multiply
    9,287.58x = 13,931.40 × 2,362.08
  4. Step 4: Simplify right side
    9,287.58x = 32,907,081.31
  5. Step 5: Solve for x
    x = 32,907,081.31/9,287.58
  6. Step 6: Final answer
    x = 3,543.13

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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.