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Finding the Fourth Proportional to 9,477.64, 14,218.26 and 4,283.50

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Solution

The fourth proportional to 9,477.64, 14,218.26 and 4,283.50 is: 6,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.64 : 14,218.26 = 4,283.50 : x
  2. Step 2: Convert to fraction form
    9,477.64/14,218.26 = 4,283.50/x
  3. Step 3: Cross multiply
    9,477.64x = 14,218.26 × 4,283.50
  4. Step 4: Simplify right side
    9,477.64x = 60,903,916.71
  5. Step 5: Solve for x
    x = 60,903,916.71/9,477.64
  6. Step 6: Final answer
    x = 6,426.06

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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.