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Finding the Fourth Proportional to 9,549.16, 14,320.19 and 3,307.50

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Solution

The fourth proportional to 9,549.16, 14,320.19 and 3,307.50 is: 4,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.16 : 14,320.19 = 3,307.50 : x
  2. Step 2: Convert to fraction form
    9,549.16/14,320.19 = 3,307.50/x
  3. Step 3: Cross multiply
    9,549.16x = 14,320.19 × 3,307.50
  4. Step 4: Simplify right side
    9,549.16x = 47,364,036.69
  5. Step 5: Solve for x
    x = 47,364,036.69/9,549.16
  6. Step 6: Final answer
    x = 4,960.02

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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.