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Finding the Fourth Proportional to 10,056.84, 13,938.72 and 9,870.18

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Solution

The fourth proportional to 10,056.84, 13,938.72 and 9,870.18 is: 13,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.84 : 13,938.72 = 9,870.18 : x
  2. Step 2: Convert to fraction form
    10,056.84/13,938.72 = 9,870.18/x
  3. Step 3: Cross multiply
    10,056.84x = 13,938.72 × 9,870.18
  4. Step 4: Simplify right side
    10,056.84x = 137,577,675.37
  5. Step 5: Solve for x
    x = 137,577,675.37/10,056.84
  6. Step 6: Final answer
    x = 13,680.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.