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Finding the Fourth Proportional to 7,152.95, 9,870.88 and 4,322.67

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Solution

The fourth proportional to 7,152.95, 9,870.88 and 4,322.67 is: 5,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.95 : 9,870.88 = 4,322.67 : x
  2. Step 2: Convert to fraction form
    7,152.95/9,870.88 = 4,322.67/x
  3. Step 3: Cross multiply
    7,152.95x = 9,870.88 × 4,322.67
  4. Step 4: Simplify right side
    7,152.95x = 42,668,556.85
  5. Step 5: Solve for x
    x = 42,668,556.85/7,152.95
  6. Step 6: Final answer
    x = 5,965.17

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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.