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Finding the Fourth Proportional to 9,722.89, 13,402.15 and 7,360.93

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Solution

The fourth proportional to 9,722.89, 13,402.15 and 7,360.93 is: 10,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.89 : 13,402.15 = 7,360.93 : x
  2. Step 2: Convert to fraction form
    9,722.89/13,402.15 = 7,360.93/x
  3. Step 3: Cross multiply
    9,722.89x = 13,402.15 × 7,360.93
  4. Step 4: Simplify right side
    9,722.89x = 98,652,288.00
  5. Step 5: Solve for x
    x = 98,652,288.00/9,722.89
  6. Step 6: Final answer
    x = 10,146.40

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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.