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Finding the Fourth Proportional to 9,716.40, 14,547.87 and 7,369.47

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Solution

The fourth proportional to 9,716.40, 14,547.87 and 7,369.47 is: 11,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 14,547.87 = 7,369.47 : x
  2. Step 2: Convert to fraction form
    9,716.40/14,547.87 = 7,369.47/x
  3. Step 3: Cross multiply
    9,716.40x = 14,547.87 × 7,369.47
  4. Step 4: Simplify right side
    9,716.40x = 107,210,091.53
  5. Step 5: Solve for x
    x = 107,210,091.53/9,716.40
  6. Step 6: Final answer
    x = 11,033.93

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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.