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Finding the Fourth Proportional to 6,989.16, 9,641.33 and 5,307.78

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Solution

The fourth proportional to 6,989.16, 9,641.33 and 5,307.78 is: 7,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.16 : 9,641.33 = 5,307.78 : x
  2. Step 2: Convert to fraction form
    6,989.16/9,641.33 = 5,307.78/x
  3. Step 3: Cross multiply
    6,989.16x = 9,641.33 × 5,307.78
  4. Step 4: Simplify right side
    6,989.16x = 51,174,032.01
  5. Step 5: Solve for x
    x = 51,174,032.01/6,989.16
  6. Step 6: Final answer
    x = 7,321.91

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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.