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Finding the Fourth Proportional to 9,897.93, 13,659.15 and 5,421.76

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Solution

The fourth proportional to 9,897.93, 13,659.15 and 5,421.76 is: 7,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.93 : 13,659.15 = 5,421.76 : x
  2. Step 2: Convert to fraction form
    9,897.93/13,659.15 = 5,421.76/x
  3. Step 3: Cross multiply
    9,897.93x = 13,659.15 × 5,421.76
  4. Step 4: Simplify right side
    9,897.93x = 74,056,598.96
  5. Step 5: Solve for x
    x = 74,056,598.96/9,897.93
  6. Step 6: Final answer
    x = 7,482.03

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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.