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Finding the Fourth Proportional to 9,854.04, 14,781.06 and 4,009.32

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Solution

The fourth proportional to 9,854.04, 14,781.06 and 4,009.32 is: 6,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.04 : 14,781.06 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    9,854.04/14,781.06 = 4,009.32/x
  3. Step 3: Cross multiply
    9,854.04x = 14,781.06 × 4,009.32
  4. Step 4: Simplify right side
    9,854.04x = 59,261,999.48
  5. Step 5: Solve for x
    x = 59,261,999.48/9,854.04
  6. Step 6: Final answer
    x = 6,013.98

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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.