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Finding the Fourth Proportional to 9,509.43, 13,123.50 and 5,476.86

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Solution

The fourth proportional to 9,509.43, 13,123.50 and 5,476.86 is: 7,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.43 : 13,123.50 = 5,476.86 : x
  2. Step 2: Convert to fraction form
    9,509.43/13,123.50 = 5,476.86/x
  3. Step 3: Cross multiply
    9,509.43x = 13,123.50 × 5,476.86
  4. Step 4: Simplify right side
    9,509.43x = 71,875,572.21
  5. Step 5: Solve for x
    x = 71,875,572.21/9,509.43
  6. Step 6: Final answer
    x = 7,558.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.