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Finding the Fourth Proportional to 7,050.16, 9,725.16 and 4,566.16

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Solution

The fourth proportional to 7,050.16, 9,725.16 and 4,566.16 is: 6,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.16 : 9,725.16 = 4,566.16 : x
  2. Step 2: Convert to fraction form
    7,050.16/9,725.16 = 4,566.16/x
  3. Step 3: Cross multiply
    7,050.16x = 9,725.16 × 4,566.16
  4. Step 4: Simplify right side
    7,050.16x = 44,406,636.59
  5. Step 5: Solve for x
    x = 44,406,636.59/7,050.16
  6. Step 6: Final answer
    x = 6,298.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.