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Finding the Fourth Proportional to 9,594.85, 14,307.53 and 8,429.62

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Solution

The fourth proportional to 9,594.85, 14,307.53 and 8,429.62 is: 12,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.85 : 14,307.53 = 8,429.62 : x
  2. Step 2: Convert to fraction form
    9,594.85/14,307.53 = 8,429.62/x
  3. Step 3: Cross multiply
    9,594.85x = 14,307.53 × 8,429.62
  4. Step 4: Simplify right side
    9,594.85x = 120,607,041.04
  5. Step 5: Solve for x
    x = 120,607,041.04/9,594.85
  6. Step 6: Final answer
    x = 12,569.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.