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Finding the Fourth Proportional to 9,897.83, 13,659.22 and 5,421.77

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Solution

The fourth proportional to 9,897.83, 13,659.22 and 5,421.77 is: 7,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.83 : 13,659.22 = 5,421.77 : x
  2. Step 2: Convert to fraction form
    9,897.83/13,659.22 = 5,421.77/x
  3. Step 3: Cross multiply
    9,897.83x = 13,659.22 × 5,421.77
  4. Step 4: Simplify right side
    9,897.83x = 74,057,108.43
  5. Step 5: Solve for x
    x = 74,057,108.43/9,897.83
  6. Step 6: Final answer
    x = 7,482.16

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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.