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Finding the Fourth Proportional to 9,897.42, 14,833.42 and 4,047.06

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Solution

The fourth proportional to 9,897.42, 14,833.42 and 4,047.06 is: 6,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.42 : 14,833.42 = 4,047.06 : x
  2. Step 2: Convert to fraction form
    9,897.42/14,833.42 = 4,047.06/x
  3. Step 3: Cross multiply
    9,897.42x = 14,833.42 × 4,047.06
  4. Step 4: Simplify right side
    9,897.42x = 60,031,740.75
  5. Step 5: Solve for x
    x = 60,031,740.75/9,897.42
  6. Step 6: Final answer
    x = 6,065.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.