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Finding the Fourth Proportional to 9,710.10, 14,585.88 and 6,954.48

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Solution

The fourth proportional to 9,710.10, 14,585.88 and 6,954.48 is: 10,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.10 : 14,585.88 = 6,954.48 : x
  2. Step 2: Convert to fraction form
    9,710.10/14,585.88 = 6,954.48/x
  3. Step 3: Cross multiply
    9,710.10x = 14,585.88 × 6,954.48
  4. Step 4: Simplify right side
    9,710.10x = 101,437,210.74
  5. Step 5: Solve for x
    x = 101,437,210.74/9,710.10
  6. Step 6: Final answer
    x = 10,446.57

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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.