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Finding the Fourth Proportional to 9,029.86, 12,460.98 and 5,051.14

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Solution

The fourth proportional to 9,029.86, 12,460.98 and 5,051.14 is: 6,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.86 : 12,460.98 = 5,051.14 : x
  2. Step 2: Convert to fraction form
    9,029.86/12,460.98 = 5,051.14/x
  3. Step 3: Cross multiply
    9,029.86x = 12,460.98 × 5,051.14
  4. Step 4: Simplify right side
    9,029.86x = 62,942,154.52
  5. Step 5: Solve for x
    x = 62,942,154.52/9,029.86
  6. Step 6: Final answer
    x = 6,970.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.