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Finding the Fourth Proportional to 9,482.79, 13,085.70 and 5,705.10

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Solution

The fourth proportional to 9,482.79, 13,085.70 and 5,705.10 is: 7,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.79 : 13,085.70 = 5,705.10 : x
  2. Step 2: Convert to fraction form
    9,482.79/13,085.70 = 5,705.10/x
  3. Step 3: Cross multiply
    9,482.79x = 13,085.70 × 5,705.10
  4. Step 4: Simplify right side
    9,482.79x = 74,655,227.07
  5. Step 5: Solve for x
    x = 74,655,227.07/9,482.79
  6. Step 6: Final answer
    x = 7,872.71

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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.