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Finding the Fourth Proportional to 9,486, 14,230.08 and 4,870.08

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Solution

The fourth proportional to 9,486, 14,230.08 and 4,870.08 is: 7,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 14,230.08 = 4,870.08 : x
  2. Step 2: Convert to fraction form
    9,486/14,230.08 = 4,870.08/x
  3. Step 3: Cross multiply
    9,486x = 14,230.08 × 4,870.08
  4. Step 4: Simplify right side
    9,486x = 69,301,628.01
  5. Step 5: Solve for x
    x = 69,301,628.01/9,486
  6. Step 6: Final answer
    x = 7,305.67

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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.