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Finding the Fourth Proportional to 7,032.19, 9,701.50 and 4,374.99

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Solution

The fourth proportional to 7,032.19, 9,701.50 and 4,374.99 is: 6,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.19 : 9,701.50 = 4,374.99 : x
  2. Step 2: Convert to fraction form
    7,032.19/9,701.50 = 4,374.99/x
  3. Step 3: Cross multiply
    7,032.19x = 9,701.50 × 4,374.99
  4. Step 4: Simplify right side
    7,032.19x = 42,443,965.49
  5. Step 5: Solve for x
    x = 42,443,965.49/7,032.19
  6. Step 6: Final answer
    x = 6,035.67

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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.