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Finding the Fourth Proportional to 9,897.77, 14,846.66 and 4,052

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Solution

The fourth proportional to 9,897.77, 14,846.66 and 4,052 is: 6,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.77 : 14,846.66 = 4,052 : x
  2. Step 2: Convert to fraction form
    9,897.77/14,846.66 = 4,052/x
  3. Step 3: Cross multiply
    9,897.77x = 14,846.66 × 4,052
  4. Step 4: Simplify right side
    9,897.77x = 60,158,666.32
  5. Step 5: Solve for x
    x = 60,158,666.32/9,897.77
  6. Step 6: Final answer
    x = 6,078.00

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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.