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Finding the Fourth Proportional to 9,973.51, 14,941.59 and 8,946.53

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Solution

The fourth proportional to 9,973.51, 14,941.59 and 8,946.53 is: 13,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.51 : 14,941.59 = 8,946.53 : x
  2. Step 2: Convert to fraction form
    9,973.51/14,941.59 = 8,946.53/x
  3. Step 3: Cross multiply
    9,973.51x = 14,941.59 × 8,946.53
  4. Step 4: Simplify right side
    9,973.51x = 133,675,375.80
  5. Step 5: Solve for x
    x = 133,675,375.80/9,973.51
  6. Step 6: Final answer
    x = 13,403.04

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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.