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Finding the Fourth Proportional to 9,287.64, 13,931.52 and 2,362.16

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Solution

The fourth proportional to 9,287.64, 13,931.52 and 2,362.16 is: 3,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.64 : 13,931.52 = 2,362.16 : x
  2. Step 2: Convert to fraction form
    9,287.64/13,931.52 = 2,362.16/x
  3. Step 3: Cross multiply
    9,287.64x = 13,931.52 × 2,362.16
  4. Step 4: Simplify right side
    9,287.64x = 32,908,479.28
  5. Step 5: Solve for x
    x = 32,908,479.28/9,287.64
  6. Step 6: Final answer
    x = 3,543.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.