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Finding the Fourth Proportional to 7,030.34, 9,701.93 and 4,512.50

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Solution

The fourth proportional to 7,030.34, 9,701.93 and 4,512.50 is: 6,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.34 : 9,701.93 = 4,512.50 : x
  2. Step 2: Convert to fraction form
    7,030.34/9,701.93 = 4,512.50/x
  3. Step 3: Cross multiply
    7,030.34x = 9,701.93 × 4,512.50
  4. Step 4: Simplify right side
    7,030.34x = 43,779,958.28
  5. Step 5: Solve for x
    x = 43,779,958.28/7,030.34
  6. Step 6: Final answer
    x = 6,227.29

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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.