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Finding the Fourth Proportional to 9,700.59, 14,543.46 and 4,431.94

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Solution

The fourth proportional to 9,700.59, 14,543.46 and 4,431.94 is: 6,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.59 : 14,543.46 = 4,431.94 : x
  2. Step 2: Convert to fraction form
    9,700.59/14,543.46 = 4,431.94/x
  3. Step 3: Cross multiply
    9,700.59x = 14,543.46 × 4,431.94
  4. Step 4: Simplify right side
    9,700.59x = 64,455,742.11
  5. Step 5: Solve for x
    x = 64,455,742.11/9,700.59
  6. Step 6: Final answer
    x = 6,644.52

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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.