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Finding the Fourth Proportional to 9,578.46, 14,364.76 and 7,699.89

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Solution

The fourth proportional to 9,578.46, 14,364.76 and 7,699.89 is: 11,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.46 : 14,364.76 = 7,699.89 : x
  2. Step 2: Convert to fraction form
    9,578.46/14,364.76 = 7,699.89/x
  3. Step 3: Cross multiply
    9,578.46x = 14,364.76 × 7,699.89
  4. Step 4: Simplify right side
    9,578.46x = 110,607,071.88
  5. Step 5: Solve for x
    x = 110,607,071.88/9,578.46
  6. Step 6: Final answer
    x = 11,547.48

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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.