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Finding the Fourth Proportional to 9,607.60, 14,390.70 and 5,445.46

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Solution

The fourth proportional to 9,607.60, 14,390.70 and 5,445.46 is: 8,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.60 : 14,390.70 = 5,445.46 : x
  2. Step 2: Convert to fraction form
    9,607.60/14,390.70 = 5,445.46/x
  3. Step 3: Cross multiply
    9,607.60x = 14,390.70 × 5,445.46
  4. Step 4: Simplify right side
    9,607.60x = 78,363,981.22
  5. Step 5: Solve for x
    x = 78,363,981.22/9,607.60
  6. Step 6: Final answer
    x = 8,156.46

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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.