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Finding the Fourth Proportional to 9,211.07, 12,710.94 and 5,434.40

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Solution

The fourth proportional to 9,211.07, 12,710.94 and 5,434.40 is: 7,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.07 : 12,710.94 = 5,434.40 : x
  2. Step 2: Convert to fraction form
    9,211.07/12,710.94 = 5,434.40/x
  3. Step 3: Cross multiply
    9,211.07x = 12,710.94 × 5,434.40
  4. Step 4: Simplify right side
    9,211.07x = 69,076,332.34
  5. Step 5: Solve for x
    x = 69,076,332.34/9,211.07
  6. Step 6: Final answer
    x = 7,499.27

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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.