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Finding the Fourth Proportional to 6,897.17, 9,507.03 and 4,658.33

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Solution

The fourth proportional to 6,897.17, 9,507.03 and 4,658.33 is: 6,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.17 : 9,507.03 = 4,658.33 : x
  2. Step 2: Convert to fraction form
    6,897.17/9,507.03 = 4,658.33/x
  3. Step 3: Cross multiply
    6,897.17x = 9,507.03 × 4,658.33
  4. Step 4: Simplify right side
    6,897.17x = 44,286,883.06
  5. Step 5: Solve for x
    x = 44,286,883.06/6,897.17
  6. Step 6: Final answer
    x = 6,421.02

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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.