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Finding the Fourth Proportional to 9,705.62, 14,560.29 and 3,130.04

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Solution

The fourth proportional to 9,705.62, 14,560.29 and 3,130.04 is: 4,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.62 : 14,560.29 = 3,130.04 : x
  2. Step 2: Convert to fraction form
    9,705.62/14,560.29 = 3,130.04/x
  3. Step 3: Cross multiply
    9,705.62x = 14,560.29 × 3,130.04
  4. Step 4: Simplify right side
    9,705.62x = 45,574,290.11
  5. Step 5: Solve for x
    x = 45,574,290.11/9,705.62
  6. Step 6: Final answer
    x = 4,695.66

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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.