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Finding the Fourth Proportional to 9,952.01, 14,931.60 and 5,017.93

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Solution

The fourth proportional to 9,952.01, 14,931.60 and 5,017.93 is: 7,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.01 : 14,931.60 = 5,017.93 : x
  2. Step 2: Convert to fraction form
    9,952.01/14,931.60 = 5,017.93/x
  3. Step 3: Cross multiply
    9,952.01x = 14,931.60 × 5,017.93
  4. Step 4: Simplify right side
    9,952.01x = 74,925,698.50
  5. Step 5: Solve for x
    x = 74,925,698.50/9,952.01
  6. Step 6: Final answer
    x = 7,528.70

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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.