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Finding the Fourth Proportional to 9,633.58, 14,430.58 and 4,699.06

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Solution

The fourth proportional to 9,633.58, 14,430.58 and 4,699.06 is: 7,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.58 : 14,430.58 = 4,699.06 : x
  2. Step 2: Convert to fraction form
    9,633.58/14,430.58 = 4,699.06/x
  3. Step 3: Cross multiply
    9,633.58x = 14,430.58 × 4,699.06
  4. Step 4: Simplify right side
    9,633.58x = 67,810,161.25
  5. Step 5: Solve for x
    x = 67,810,161.25/9,633.58
  6. Step 6: Final answer
    x = 7,038.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.