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Finding the Fourth Proportional to 9,424.86, 14,139.62 and 6,656.93

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Solution

The fourth proportional to 9,424.86, 14,139.62 and 6,656.93 is: 9,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.86 : 14,139.62 = 6,656.93 : x
  2. Step 2: Convert to fraction form
    9,424.86/14,139.62 = 6,656.93/x
  3. Step 3: Cross multiply
    9,424.86x = 14,139.62 × 6,656.93
  4. Step 4: Simplify right side
    9,424.86x = 94,126,460.57
  5. Step 5: Solve for x
    x = 94,126,460.57/9,424.86
  6. Step 6: Final answer
    x = 9,987.04

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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.