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Finding the Fourth Proportional to 9,140.64, 13,710.80 and 2,984.64

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Solution

The fourth proportional to 9,140.64, 13,710.80 and 2,984.64 is: 4,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.64 : 13,710.80 = 2,984.64 : x
  2. Step 2: Convert to fraction form
    9,140.64/13,710.80 = 2,984.64/x
  3. Step 3: Cross multiply
    9,140.64x = 13,710.80 × 2,984.64
  4. Step 4: Simplify right side
    9,140.64x = 40,921,802.11
  5. Step 5: Solve for x
    x = 40,921,802.11/9,140.64
  6. Step 6: Final answer
    x = 4,476.91

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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.