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Finding the Fourth Proportional to 9,851.04, 14,776.56 and 4,006.32

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Solution

The fourth proportional to 9,851.04, 14,776.56 and 4,006.32 is: 6,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.04 : 14,776.56 = 4,006.32 : x
  2. Step 2: Convert to fraction form
    9,851.04/14,776.56 = 4,006.32/x
  3. Step 3: Cross multiply
    9,851.04x = 14,776.56 × 4,006.32
  4. Step 4: Simplify right side
    9,851.04x = 59,199,627.86
  5. Step 5: Solve for x
    x = 59,199,627.86/9,851.04
  6. Step 6: Final answer
    x = 6,009.48

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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.