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Finding the Fourth Proportional to 9,964.04, 14,937.89 and 4,696.47

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Solution

The fourth proportional to 9,964.04, 14,937.89 and 4,696.47 is: 7,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.04 : 14,937.89 = 4,696.47 : x
  2. Step 2: Convert to fraction form
    9,964.04/14,937.89 = 4,696.47/x
  3. Step 3: Cross multiply
    9,964.04x = 14,937.89 × 4,696.47
  4. Step 4: Simplify right side
    9,964.04x = 70,155,328.77
  5. Step 5: Solve for x
    x = 70,155,328.77/9,964.04
  6. Step 6: Final answer
    x = 7,040.86

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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.