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Finding the Fourth Proportional to 9,477.74, 14,228.92 and 7,288

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Solution

The fourth proportional to 9,477.74, 14,228.92 and 7,288 is: 10,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.74 : 14,228.92 = 7,288 : x
  2. Step 2: Convert to fraction form
    9,477.74/14,228.92 = 7,288/x
  3. Step 3: Cross multiply
    9,477.74x = 14,228.92 × 7,288
  4. Step 4: Simplify right side
    9,477.74x = 103,700,368.96
  5. Step 5: Solve for x
    x = 103,700,368.96/9,477.74
  6. Step 6: Final answer
    x = 10,941.47

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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.