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Finding the Fourth Proportional to 9,642.87, 14,465.93 and 3,071.07

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Solution

The fourth proportional to 9,642.87, 14,465.93 and 3,071.07 is: 4,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.87 : 14,465.93 = 3,071.07 : x
  2. Step 2: Convert to fraction form
    9,642.87/14,465.93 = 3,071.07/x
  3. Step 3: Cross multiply
    9,642.87x = 14,465.93 × 3,071.07
  4. Step 4: Simplify right side
    9,642.87x = 44,425,868.29
  5. Step 5: Solve for x
    x = 44,425,868.29/9,642.87
  6. Step 6: Final answer
    x = 4,607.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.