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Finding the Fourth Proportional to 9,015.84, 12,429.32 and 7,770.15

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Solution

The fourth proportional to 9,015.84, 12,429.32 and 7,770.15 is: 10,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.84 : 12,429.32 = 7,770.15 : x
  2. Step 2: Convert to fraction form
    9,015.84/12,429.32 = 7,770.15/x
  3. Step 3: Cross multiply
    9,015.84x = 12,429.32 × 7,770.15
  4. Step 4: Simplify right side
    9,015.84x = 96,577,641.95
  5. Step 5: Solve for x
    x = 96,577,641.95/9,015.84
  6. Step 6: Final answer
    x = 10,712.00

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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.